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# Factors of 120

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.

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## Find factors of 120

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.

### Factors 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.

### All factors of 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

### Factor of 120 in pairs

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).

### Prime Factors of 120

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 23 × 3 × 5 are Prime Factors of 120.

### Factor tree of 120

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

### What are the factors of 120?

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

### What are the factors of – 120?

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

### What are the factor pairs of 120?

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

### What are the All factors of 120?

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

### What are the Prime Factors of 120?

Answer: 2 × 2 × 2 × 3 × 5 or 23 × 3 × 5