# Factors of 27

Factors of 27 are those numbers that, when multiplied together, give the result of 27. We can also say that a factor is a number that divides a number ultimately, leaving zero as a remainder. We will use the multiplication method to find the factors of 27.

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## Factors of 27 Details

Factors of 27: 1, 3, 9 and 27
Factors of -27: -1, -3, -9 and -27
Prime Factors of 27: 3
Prime Factorization of 27: 3 × 3 × 3
Factors of 27 in Pairs: (1, 27) and (3, 9)
Negative Pairs Factors of 27: (-1, -27) and (-3, -9)

## What are the factors of 27?

The method of calculating the factors of 27 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 27 are the factors of 27.
By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 27 ÷ 1 = 27

This division gives the remainder 0 and so is divisible by 27. So please put them 1 and 27 in your factor list.

1, …….. 27

(ii) 27 ÷ 2 = 13.5

This division gives the remainder 13.5, not being thoroughly divided. So we will not write 2 and 13.5 on the list.

(iii) 27 ÷ 3 = 9

This division gives the remainder 0 and so is divisible by 9. So please put them 1 and 9 in your factor list.

1, 3 …….. 9, 27

(iv) 27 ÷ 4 = 6.75

This division gives the remainder 6.75, not being thoroughly divided. So we will not write 4 and 6.75 on the list.

(iv) 27 ÷ 5 = 5.4

This division gives the remainder 5.4, not being thoroughly divided. So we will not write 5 and 5.4 on the list.

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

So 1, 3, 9 and 27 are factors of 27.

## Factors of -27

To get the factors of -27 by the multiplication method, we will first write the number -27 multiplicatively in all possible ways. We can write -27 as follows and we have:

27 = -1 × -27 Therefor, -1, -27 are factors of -27
27 = -3 × -9 Therefor, -3, -9 are factors of -27

As there are no other ways we can express -27 multiplicative, we will stop now, and we have obtained all the factors of -27.

So, the factors of -27 are -1, -3, -9 and -27.

## All factors of 27

Here is a list of all the positive and negative factors of 27 in numerical order.

1, 3, 9, 27, -1, -3, -9 and -27

Therefore, 1, 3, 9, 27, -1, -3, -9 and -27 are All factors of 27.

## Factor pairs of 27

1 x 27 = 27
3 x 9 = 27

So, (1, 27) and (3, 9) are factor pairs of 27

## Factor pairs of -27

-1 x -27 = 27
-3 x -9 = 27

So, (-1, -27) and (-3, -9) are negative pair factors of 27

## Prime Factorization of 27

27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1

Therefore, 3 x 3 x 3 are Prime factorization of 27.

## Factor tree of 27

``````         27
/   \
3     9
/   \
3      3``````