# Factors of 28

Factors of 28 are those numbers that, when multiplied together, give the result of 28. 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 28.

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## What are the factors of 28?

The method of calculating the factors of 28 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 28 are the factors of 28.
By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 28 ÷ 1 = 28

This division gives the remainder 0 and so is divisible by 28. So please put them 1 and 28 in your factor list.

1, …….. 28

(ii) 28 ÷ 2 = 14

This division gives the remainder 0 and so is divisible by 14. So please put them 2 and 13 in your factor list.

1, 2 …….. 14, 28

(iii) 28 ÷ 3 = 9.33

This division gives the remainder 9.33, not being thoroughly divided. So we will not write 3 and 9.33 on the list.

(iv) 28 ÷ 4 = 7

This division gives the remainder 0 and so is divisible by 14. So please put them 2 and 13 in your factor list.

1, 2, 4 …….. 7, 14, 28

(v) 28 ÷ 5 = 5.6

This division gives the remainder 5.6, not being thoroughly divided. So we will not write 5 and 5.6 on the list.

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

So 1, 2, 4, 7, 14 and 28 are factors of 28.

## Factors of -28

To get the factors of -28 by the multiplication method, we will first write the number -28 multiplicatively in all possible ways. We can write -28 as follows and we have:

28 = -1 × -28 Therefor, -1, -28 are factors of -28
28 = -2 × -14 Therefor, -2, -14 are factors of -28
28 = -4 × -7 Therefor, -4, -7 are factors of -28

As there are no other ways we can express -28 multiplicative, we will stop now, and we have obtained all the factors of -28.

So, the factors of -28 are -1, -2, -4, -7, -14 and -28.

## All factors of 28

Here is a list of all the positive and negative factors of 28 in numerical order.

1, 2, 4, 7, 14, 28, -1, -2, -4, -7, -14 and -28

Therefore, 1, 2, 4, 7, 14, 28, -1, -2, -4, -7, -14 and -28 are All factors of 28.

## Factor pairs of 28

1 x 28 = 28
2 x 14 = 28
4 x 7 = 28

So, (1, 28), (2, 14) and (4, 7) are factor pairs of 28

## Factor pairs of -28

-1 x -28 = 28
-2 x -14 = 28
-4 x -7 = 28

So, (-1, -28), (-2, -14) and (-4, -7) are negative pair factors of 28

## Prime Factorization of 28

28 ÷ 2 = 14
14 ÷ 2 = 7
7 ÷ 7 = 1

Therefore, 2 × 2 x 7 are Prime factorization of 28.

## Factor tree of 28

``````         28
/   \
2     14
/    \
2      7``````