Factors of 22

Factors of 22 are those numbers that, when multiplied together, give the result of 22. 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 22.

factors of 22

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Factors of 22: 1, 2, 11 and 22
Factors of -22: -1, -2, -11 and -22
Prime Factors of 22: 2, 11
Prime Factorization of 22: 2 × 11
Factors of 22 in Pairs: (1, 22) and (2, 11)

What are the factors of 22?

The method of calculating the factors of 22 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 22 are the factors of 22.
By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 22 ÷ 1 = 22

This division gives the remainder 0 and so is divisible by 22. So please put them 1 and 22 in your factor list.

1, …….. 22

(ii) 22 ÷ 2 = 11

This division gives the remainder 0 and so is divisible by 11. So please put them 2 and 11 in your factor list.

1, 2 …….. 11, 22

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

So 1, 2, 11 and 22 are factors of 21.

factors of 22

Factors of -22

To get the factors of -22 by the multiplication method, we will first write the number -22 multiplicatively in all possible ways. We can write -22 as follows and we have:

22 = -1 × -22 Therefore, -1, -22 are factors of -22
22 = -2 × -11 Therefore, -2, -11 are factors of -22

As there are no other ways we can express -22 multiplicative, we will stop now, and we have obtained all the factors of -22.

So, the factors of -22 are -1, -2, -11 and -22.

All factors of 22

Here is a list of all the positive and negative factors of 22 in numerical order.

1, 2, 11, 22, -1, -2, -11 and -22

Therefore, 1, 2, 11, 22, -1, -2, -11 and -22 are All factors of 22.

Factor pairs of 22

22 x 1 = 22
2 x 11 = 22

So, (1, 22) and (2, 11) are factor pairs of 22

Prime Factorization of 22

22 ÷ 2 = 11
11 ÷ 11 = 1

Therefore, 2 × 11 are the Prime factorization of 22.

Factor tree of 22

         22
        /   \
      2     11

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