Factors of 20

Factors of 20 are those numbers that, when multiplied together, give the result of 20. 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 20.

Factors of 20

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Factors of 20: 1, 2, 4, 5, 10 and 20
Factors of -20: -1, -2, -4, -5, -10 and -20
Prime Factors of 20: 2, 5
Prime Factorization of 20: 2 × 2 × 5
Factors of 20 in Pairs: (1, 20), (2, 10), and (4, 5)

What are the factors of 20?

The method of calculating the factors of 20 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 20 are the factors of 20.
By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 20 ÷ 1 = 20

This division gives the remainder 0 and so is divisible by 20. So please put them 1 and 20 in your factor list.

1, …….. 20

(ii) 20 ÷ 2 = 10

This division gives the remainder 0 and so is divisible by 10. So please put them 2 and 10 in your factor list.

1, 2 ……..10, 20

(iii) 20 ÷ 3 = 3.33

This division gives the remainder 3.33, not being thoroughly divided. So we will not write 3 and 3.33 on the list.

(iv) 20 ÷ 4 = 5

This division gives the remainder 0 and so is divisible by 5. So please put them 4 and 5 in your factor list.

1, 2, 4 ……..5, 10, 20

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

So 1, 2, 4, 5, 10 and 20 are factors of 20.

Factors of -20

To get the factors of -20 by the multiplication method, we will first write the number -20 multiplicatively in all possible ways. We can write -20 as follows and we have:

20 = -1 × -20 Therefore, -1, -20 are factors of -20
20 = -2 × -10 Therefore, -2, -10 are factors of -20
20 = -4 × -5 Therefore, -4, -5 are factors of -20

As there are no other ways we can express -20 multiplicative, we will stop now, and we have obtained all the factors of -20.

So, the factors of -20 are -1, -2, -4, -5, -10 and -20.

All factors of 20

Here is a list of all the positive and negative factors of 20 in numerical order.

1, 2, 4, 5, 10, 20, -1, -2, -4, -5, -10 and -20

Therefore, 1, 2, 4, 5, 10, 20, -1, -2, -4, -5, -10 and -20 are All factors of 20.

Factor pairs of 20

20 x 1 = 20
2 x 10 = 20
4 x 5 = 20

So, (1, 20), (2, 10), and (4, 5) are factor pairs of 20

Prime Factorization of 20

20 ÷ 2 = 10
10 ÷ 2 = 5
5 ÷ 5 = 1

Therefore, 2 × 2 × 5 are Prime factorization of 20.

Factor tree of 20

         20
       /    \
      2     10
            /    \
          2       5

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