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# Factors of 159

Factors of 159 are those numbers that, when multiplied together, give the result 159. 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 159

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### How to Find the factors of 159?

To calculate the factors of any number, here 159 in this case, we have to find all the numbers which will divide 159 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) 159 ÷ 1 = 159

Gives remainder 0 and so are divisible by 159. So please put it on your factor list.

``````
``````(ii) 159 ÷ 2 = 79.5

Gives remainder 79.5, not being thoroughly divided. So we will not write two on the list.``````
``````(iii) 159 ÷ 3 = 53

Gives remainder 0 and so are divisible by 53. So please put it on your factor list.``````
``````(iii) Since we don't have any more numbers to calculate, we are putting the numbers so far.

So 1, 3, 53, 159 are factor of 159. ``````

### Factors of – 159

As – 3 and – 53 are negative factors, you get a positive number by multiplying two negatives, like (- 3) × (- 53) = 159.

So, – 1, – 3, – 53, – 159 are negative factor of 159.

### All factors of 159

Here is a list of all the positive and negative factors of 159 in numerical order.

Positive Factors of 159 = 1, 3, 53, 159
Negative Factors of 159 = – 1, – 3, – 53, – 159

So, – 1, – 3, – 53, – 159, 1, 3, 53, 159 All factors of 159.

### Factors of 159 in pairs

1 and 159 are a factor pair of 159 since 1 x 159 = 159
3 and 53 are a factor pair of 159 since 3 x 53 = 159

Therefore, the pair factors of 159 are (1, 159), (3, 53).

### Negative pair factors of 159

(-1) × (-159) = (-1, -159)
(-3) × (-53) = (-3, -53)

Therefore, the Negative pair factors are (-1, -159), (-3, -53).

### Prime Factors of 159

159 ÷ 3 = 53
53 ÷ 53 = 1

``````
2|  159
--|--------
53|   53
--|--------
|    1
``````

So, 3 x 53 is are prime factorization of 159.

### Factor Tree of 159

``````             159
/   \
3    53``````