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The Number 173 is a Prime Number Because 173 is only divided by 1 and by itself.

Factors of 173 | 1, 173 |

Negative Factors of 173 | – 1, – 173 |

Factor Pair of 173 | (1, 173) |

Negative Pair Factors of 173 | (-1, -173) |

All Factors of 173 | 1 and 173 |

Prime Factors of 173 | 173 |

To calculate the factors of any number, here are 173 in this case, we have to find all the numbers which will divide 173 without leaving any remainder. We start with the number 1, then go on checking the numbers 2, 3, 4, 5, 6, 7, etc. The number 1 and the number itself are always factors of the given number.

(i) 173 ÷ 1 = 173

Gives the remainder 0 and so is divisible by 173. So please put it on your factor list.

1 | … | 173 |

(ii) Since we don’t have any more numbers to calculate, we are putting the numbers so far.

So 1, 173 are a factor of 173.

As – 1 and – 173 are negative factors, you get a positive number by multiplying two negatives, like (- 1) × (- 173) = 173.

So, – 1, – 173 are negative factors of 173.

Here is a list of all the positive and negative factors of 173 in numerical order.

Positive Factors of 173 = 1, 173

Negative Factors of 173 = – 1, – 173

So, – 1, – 173, 1, 173 All factors of 173.

1 and 173 are a factor pair of 173 since 1 x 173 = 173

Therefore, the pair factors of 173 are (1, 173).

(-1) × (-173) = (-1, -173)

Therefore, the Negative pair factors are (-1, -173).

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126 ÷ 2 = 63

63 ÷ 3 = 21

21 ÷ 3 = 7

7 ÷ 7 = 1

```
2| 126
--|--------
3| 63
--|--------
3| 21
--|---------
7| 7
--|--------
| 1
```

So, 2 x 3 x 3 x 7 are Prime Factors of 126.

Answer: 2 x 3 x 3 x 7

**Related Post:**

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

```
5| 125
--|--------
5| 25
--|--------
5| 5
--|---------
| 1
```

So, 5 x 5 x 5 or 5^{3} are Prime Factors of 125.

**FAQ**

Answer: 5 x 5 x 5 or 5^{3}

124 ÷ 2 = 62

62 ÷ 2 = 31

31 ÷ 31 = 1

```
2| 124
--|--------
2| 62
--|--------
31| 31
--|---------
| 1
```

So, 2 x 2 x 31 are Prime Factors of 124.

**FAQ**

Answer: 2 x 2 x 31

Factors of 120 are those numbers that, when multiplied together, give the result 120. We can also say that a factor is a number that divides a number ultimately, leaving zero as a remainder. To find the factors of 120, we will use the division Method here.

The method of calculating the factors of 120 is as follows. First, every number is divisible by itself and 1.

Therefore, the factors of 120 are 1, …

We can find all factors of a number by dividing it by 1, 2, 3, 4…

Contents

(i) 120 ÷ 1 = 120, Gives remainder 0 and so are divisible by 120. So please put it on your factor list.

1, …….. 120

(ii) 120 ÷ 2 = 60, Gives remainder 0 and so are divisible by 120. So please put it on your factor list.

1, 2……..60, 120

(iii) 120 ÷ 3 = 40, Gives remainder 0 and so are divisible by 120. So please put it on your factor list.

1, 2, 3 …….. 40, 60, 120

(iv) 120 ÷ 4 = 30, Gives remainder 0 and so are divisible by 120. So please put it on your factor list.

1, 2, 3, 4 …….. 30, 40, 60, 120

(v) 120 ÷ 5 = 24, Gives remainder 0 and so are divisible by 120. So please put it on your factor list.

1, 2, 3, 4, 5 …….. 24, 30, 40, 60, 120

(vi) 120 ÷ 6 = 20, Gives remainder 0 and so are divisible by 120. So please put it on your factor list.

1, 2, 3, 4, 5, 6 …….. 20, 24, 30, 40, 60, 120

(vii) 120 ÷ 7 = 17.14, Gives remainder 17.14, not being thoroughly divided. So we will not write seven on the list.

(viii) 120 ÷ 8 = 15, Gives remainder 0 and so are divisible by 120. So please put it on your factor list.

1, 2, 3, 4, 5, 6, 8 ……..15, 20, 24, 30, 40, 60, 120

(ix) 120 ÷ 9 = 13.33, Gives remainder 13.33, not being thoroughly divided. So we will not write nine on the list.

(x) 120 ÷ 10 = 12, Gives remainder 0 and so are divisible by 120. So please put it on your factor list.

1, 2, 3, 4, 5, 6, 8, 10 ……..12, 15, 20, 24, 30, 40, 60, 120

(xi) Since we don’t have any more numbers to calculate, we are putting the numbers so far.

So 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 are factor of 120.

As – 10 and – 12 are negative factors, you get a positive number by multiplying two negatives, like (- 10) × (- 12) = 120.

Therefore, the negative factors of 120 are – 1, – 2, – 3, – 4, – 5, – 6, – 8, – 10, – 12, – 15 – 20, – 24, – 30, – 40, – 60, – 120.

Here is a list of all the positive and negative factors of 120 in numerical order.

Positive Factors of 120 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Negative Factors of 120 = – 1, – 2, – 3, – 4, – 5, – 6, – 8, – 10, – 12, – 15 – 20, – 24, – 30, – 40, – 60, – 120

1 and 120 are a factor pair of 120 since 1 x 120 = 120

2 and 60 are a factor pair of 120 since 2 x 60 = 120

3 and 40 are a factor pair of 120 since 3 x 40 = 120

4 and 30 are a factor pair of 120 since 4 x 30 = 120

5 and 24 are a factor pair of 120 since 5 x 24 = 120

6 and 20 are a factor pair of 120 since 6 x 20 = 120

8 and 15 are a factor pair of 120 since 8 x 15 = 120

10 and 12 are a factor pair of 120 since 10 x 12 = 120

Therefore, the pair factors of 120 are (1, 120), (2, 60), (3, 40), (4, 30), (5, 24), (6, 20), (8, 15) and (10, 12).

120 ÷ 2 = 60

60 ÷ 2 = 30

30 ÷ 2 = 15

15 ÷ 3 = 5

5 ÷ 5 = 1

```
2| 120
--|--------
2| 60
--|--------
2| 30
--|---------
3| 15
--|--------
5| 5
--|---------
| 1
```

So, 2 × 2 × 2 × 3 × 5 or 2^{3} × 3 × 5 are Prime Factors of 120.

```
120
/ \
2 60
/ \
2 30
/ \
2 15
/ \
3 5
```

- Factors of 119
- Factors of 118
- Factors of 117
- Factors of 116
- Factors of 115
- Factors of 114
- Factors of 112
- Factors of 110

Answer: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Answer: – 1, – 2, – 3, – 4, – 5, – 6, – 8, – 10, – 12, – 15 – 20, – 24, – 30, – 40, – 60, – 120

Answer: (1, 120), (2, 60), (3, 40), (4, 30), (5, 24), (6, 20), (8, 15), (10, 12)

Answer: – 1, – 2, – 3, – 4, – 5, – 6, – 8, – 10, – 12, – 15 – 20, – 24, – 30, – 40, – 60, – 120, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Answer: 2 × 2 × 2 × 3 × 5 or 2^{3} × 3 × 5

**Factors of 119** are those numbers that, when multiplied together, give the result 119. We can also say that a factor is a number that divides a number ultimately, leaving zero as a remainder. To find the factors of 119, we will use the division Method here.

The method of calculating the factors of 119 is as follows. First, every number is divisible by itself and 1.

Therefore, the factors of 119 are 1, …

We can find all factors of a number by dividing it by 1, 2, 3, 4…

(i) 119 ÷ 1 = 119, Gives remainder 0 and so are divisible by 119. So please put it on your factor list.

1, …….. 119

(ii) 119 ÷ 2 = 59.5, Gives remainder 0 and so are divisible by 59.5. So please put it on your factor list.

(iii) 119 ÷ 3 = 39.66 Gives remainder 39.66, not being thoroughly divided. So we will not write three on the list.

(iv) 119 ÷ 4 = 29.75 Gives remainder 29.75, not being thoroughly divided. So we will not write four on the list.

(v) 119 ÷ 5 = 23.8, Gives remainder 23.8, not being thoroughly divided. So we will not write five on the list.

(vi) 119 ÷ 6 = 19.83, Gives remainder 19.83, not being thoroughly divided. So we will not write six on the list.

(vii) 119 ÷ 7 = 17, Gives remainder 0 and so are divisible by 119. So please put it on your factor list.

1, 7……..17, 119

(viii) Since we don’t have any more numbers to calculate, we are putting the numbers so far.

So 1, 7, 17, 119 are factors of 119.

As – 7 and – 17 are negative factors, you get a positive number by multiplying two negatives, like (- 7) × (- 17) = 119.

So, – 1, – 7, – 17, – 119 are negative factors of 119.

Here is a list of all the positive and negative factors of 119 in numerical order.

Positive Factors of 119 = 1, 7, 17, 119

Negative Factors of 119 = – 1, – 7, – 17, – 119

1 x 119 = 119

7 x 17 = 119

So, (1, 119), (7, 17) are factor pair of 119

119 ÷ 7 = 17

17 ÷ 17 = 1

```
7| 119
--|--------
17| 17
--|--------
| 1
```

So, 7 x 17 are Prime factorization of 119.

```
119
/ \
7 17
```

- Factors of 120
- Factors of 118
- Factors of 117
- Factors of 116
- Factors of 115
- Factors of 114
- Factors of 112
- Factors of 110

Answer: 1, 7, 17, 119

Answer: – 1, – 7, – 17, – 119

Answer: (1, 119), (7, 17)

Answer: – 1, – 7, – 17, – 119, 1, 7, 17, 119

Answer: 7 x 17

Factors of 118 are those numbers that, when multiplied together, give the result 118. We can also say that a factor is a number that divides a number ultimately, leaving zero as a remainder. To find the factors of 118, we will use the division Method here.

The method of calculating the factors of 118 is as follows. First, every number is divisible by itself and 1.

Therefore, the factors of 118 are 1, …

We can find all factors of a number by dividing it by 1, 2, 3, 4…

Contents

(i) 118 ÷ 1 = 118 (Gives remainder 0 and so are divisible by 118. So please put it on your factor list.)

1, …….. 118

(ii) 118 ÷ 2 = 59 (Gives remainder 0 and so are divisible by 59. So please put it on your factor list.)

1, 2…….. 59, 118

(iii) 118 ÷ 3 = 39.33 (Gives remainder 39.33, not being thoroughly divided. So we will not write three on the list.)

(iv) 118 ÷ 4 = 29.5 (Gives remainder 29.5, not being thoroughly divided. So we will not write four on the list.)

(v) 118 ÷ 5 = 23.6 (Gives remainder 23.6, not being thoroughly divided. So we will not write five on the list.)

(vi) Since we don’t have any more numbers to calculate, we are putting the numbers so far.

So 1, 2, 59, 118 are factor of 118.

As – 2 and – 59 are negative factors, you get a positive number by multiplying two negatives, like (- 2) × (- 59) = 118.

The factors of – 118

Answer: – 1, – 2, – 59, – 118

Here is a list of all the positive and negative factors of 118 in numerical order.

So – 1, – 2, – 59, – 118, 1, 2, 59, 118 are all factors of 118.

Positive Factors of 118 = 1, 2, 59, 118

Negative Factors of 118 = – 1, – 2, – 59, – 118

1 x 118 = 118

2 x 59 = 118

So, (1, 118), (2, 59) are factor pairs of 118

118 ÷ 2 = 59

59 ÷ 59 = 1

```
2| 118
--|--------
59| 59
--|--------
| 1
```

So, 2 x 59 are Prime Factors of 118.

```
118
/ \
2 59
```

- Factors of 119
- Factors of 117
- Factors of 116
- Factors of 115
- Factors of 114
- Factors of 112
- Factors of 110
- Factors of 109
- Factors of 104
- Factors of 103
- Factors of 102
- Factors of 101
- Factors of 100

Answer: 1, 2, 59, 118

Answer: – 1, – 2, – 59, – 118

Answer: (1, 118), (2, 59)

Answer: – 1, – 2, – 59, – 118, 1, 2, 59, 118

Answer: 2 x 59

Prime factorization or prime factor decomposition is the process of finding which prime numbers can be multiplied together to make the original number.

To find the prime factors, you start by dividing the number by the first prime number, which is 2. If there is not a remainder, meaning you can divide evenly, then 2 is a factor of the number.

Continue dividing by 2 until you cannot divide evenly anymore. Write down how many 2’s you were able to divide by evenly. Now try dividing by the next prime factor, which is 3. The goal is to get to a quotient of 1.

```
2 | 196
|-------
2 | 98
|-------
7 | 49
|-------
7 | 7
|-------
1
```

Prime factorization of 196

Answer: 2 x 2 x 7 x 7 or 2^{2} x 7^{2}

The number 100 is a composite and it should have prime factors. Now let us know how to calculate the prime factors of 100.

Step 1 The first step is to divide the number 100 with the smallest prime factor, say 2.

100 ÷ 2 = 50

Step 2 Again divide 32 by 2 and the process goes on.

50 ÷ 2 = 25

Step 3: You will get a fractional number if you divide 25 by 2. So continue with the next prime factor, say 5

25 ÷ 5 = 5

5 ÷ 5 = 1

Finally, we received the number 1 at the end of the division process. So that we cannot proceed further. So, the prime factors of 100 are written as 2 x 2 × 5 x 5 or 2^{2} x 5^{2}, where 2 and 5 are the prime numbers.

Prime factorization of 100

Answer: 2 x 2 x 5 x 5 or 2^{2} x 5^{2}

96 ÷ 2 = 48

48 ÷ 2 = 24

24 ÷ 2 = 12

12 ÷ 2 = 6

6 ÷ 2 = 3

3 ÷ 3 = 1

Prime factorization of 96

Answer: 2 x 2 x 2 x 2 x 2 x 3

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