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# Factors of 152

Factors of 152 are those numbers that, when multiplied together, give the result 152. We can also say that a factor is a number that divides a number ultimately, leaving zero as a remainder.

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## Factors of 152

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### How to Find the factors of 152?

To calculate the factors of any number, here 152 in this case, we have to find all the numbers which will divide 152 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) 152 ÷ 1 = 152

Gives remainder 0 and so are divisible by 152. So please put it on your factor list.

1, ........ 152``````
``````(ii) 152 ÷ 2 = 76

Gives remainder 0 and so are divisible by 76. So please put it on your factor list.

1, 2 ........ 76, 152``````
``````(iii) 152 ÷ 3 = 50.66

Gives remainder 50.66, not being thoroughly divided. So we will not write three on the list.``````
``````(iv) 152 ÷ 4 = 38

Gives remainder 0 and so are divisible by 38. So please put it on your factor list.

1, 2, 4 ........ 38, 76, 152``````
``````(v) 152 ÷ 5 = 30.4

Gives remainder 30.4, not being thoroughly divided. So we will not write five on the list.``````
``````(vi) 152 ÷ 6 = 25.33

Gives remainder 25.33, not being thoroughly divided. So we will not write six on the list.``````
``````(vii) 152 ÷ 7 = 21.71

Gives remainder 21.71, not being thoroughly divided. So we will not write seven on the list.``````
``````(viii) 152 ÷ 8 = 19

Gives remainder 0 and so are divisible by 19. So please put it on your factor list.

1, 2, 4, 8 ........ 19, 38, 76, 152``````
``````(ix) Since we don't have any more numbers to calculate, we are putting the numbers so far.

So 1, 2, 4, 8, 19, 38, 76, 152 are factor of 152. ``````

### Factors of – 152

As – 8 and – 19 are negative factors, you get a positive number by multiplying two negatives, like (- 8) × (- 19) = 152.

So, – 1, – 2, – 4, – 8, – 19 – 38, – 76, – 152 are negative factor of 152.

### All factors of 152

Here is a list of all the positive and negative factors of 152 in numerical order.

Positive Factors of 152 = 1, 2, 4, 8, 19, 38, 76, 152
Negative Factors of 152 = – 1, – 2, – 4, – 8, – 19 – 38, – 76, – 152

So, – 1, – 2, – 4, – 8, – 19 – 38, – 76, – 152, 1, 2, 4, 8, 19, 38, 76, 152 All factors of 152.

### Factors of 152 in pairs

1 and 152 are a factor pair of 152 since 1 x 152 = 152
2 and 76 are a factor pair of 152 since 2 x 76 = 152
4 and 38 are a factor pair of 152 since 4 x 38 = 152
8 and 19 are a factor pair of 152 since 8 x 19 = 152

Therefore, the pair factors of 152 are (1, 152), (2, 76), (4, 38), (8, 19).

### Negative pair factors of 152

(-1) × (-152) = (-1, -152)
(-2) × (-76) = (-2, -76)
(-4) × (-38) = (-4, -38)
(-8) x (-19) = (-8, -19)

Therefore, the Negative pair factors are (-1, -152), (-2, -76), (-4, -38), (-8, -19).

### Prime Factors of 152

152 ÷ 2 = 76
76 ÷ 2 = 38
38 ÷ 2 = 19
19 ÷ 19 = 1

``````  2|  152
--|--------
2|   76
--|--------
2|   38
--|---------
19|   19
--|--------
|    1``````

So, 2 x 2 x 2 x 19 are prime factorization of 152.

### Factor Tree of 152

``````             152
/   \
2    76
/  \
2   38
/  \
2    19``````