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# Factors of 162

Factors of 162 are those numbers that, when multiplied together, give the result 162. 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 162

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### How to Find the factors of 162?

To calculate the factors of any number, here 162 in this case, we have to find all the numbers which will divide 162 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) 162 ÷ 1 = 162

Gives the remainder 0 and so is divisible by 162. So please put it on your factor list.

(ii) 162 ÷ 2 = 81

Gives the remainder 0 and so is divisible by 81. So please put it on your factor list.

(iii) 162 ÷ 3 = 54

Gives the remainder 0 and so is divisible by 81. So please put it on your factor list.

(iv) 162 ÷ 9 = 18

Gives the remainder 0 and so is divisible by 18. So please put it on your factor list.

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

So 1, 2, 3, 9, 18, 54, 81, 162 are factor of 162.

### Factors of – 162

As – 9 and – 18 are negative factors, you get a positive number by multiplying two negatives, like (- 9) × (- 18) = 162.

So, – 1, – 2, – 3, – 9, – 18, – 54, – 81, – 162 are negative factor of 162.

### All factors of 162

Here is a list of all the positive and negative factors of 162 in numerical order.

Positive Factors of 162 = 1, 2, 3, 9, 18, 54, 81, 162
Negative Factors of 162 = – 1, – 2, – 3, – 9, – 18, – 54, – 81, – 162

So, – 1, – 2, – 3, – 9, – 18, – 54, – 81, – 162, 1, 2, 3, 9, 18, 54, 81, 162 All factors of 162.

### Factors of 162 in pairs

1 and 162 are a factor pair of 162 since 1 x 162 = 162
2 and 81 are a factor pair of 162 since 2 x 81 = 162
3 and 54 are a factor pair of 162 since 3 x 54 = 162
9 and 18 are a factor pair of 162 since 9 x 18 = 162

Therefore, the pair factors of 162 are (1, 162), (2, 81), (3, 54), (9, 18).

### Negative pair factors of 162

(-1) × (-162) = (-1, -162)
(-2) × (-81) = (-2, -81)
(-3) × (-54) = (-3, -54)
(-9) × (-18) = (-9, -18)

Therefore, the Negative pair factors are (-1, -162), (-2, -81), (-3, -54), (-9, -18).

### Prime Factors of 162

162 ÷ 2 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1

``````  2|  162
--|--------
3|   81
--|--------
3|   27
--|---------
3|    9
--|--------
3|    3
--|--------
|    1``````

So, 2 x 3 x 3 x 3 x 3 are prime factorization of 162.

### Factor Tree of 162

``````             162
/   \
2    80
/  \
3   27
/  \
3   9
/  \
3    3``````