 # Factors of 20

The factors of 20 are the numbers, which produce the result as 20 when two numbers are multiplied together. Factor pairs of the number 20 are the whole numbers which could be either positive or negative but not a fraction or decimal number. To find the factors of a number, 20, we will use the factorization method.

In the factorization method, first consider the numbers, 1 and 20 as factors and continue with finding the other pair of multiples of 20 which gives the results as an original number. To understand this method in a better way, read the below article to find the factors of 20 in pairs. Also, the prime factors of 20 with the help of the division method is discussed here

## Pair Factors of 20

To find the factor pairs of 20, multiply the two numbers in a pair to get the original number as 20, such numbers are as follows

If 1 × 20 = 20, then (1, 20) is a pair factor of 20.

Similarly, let us find other pair factors

2 × 10 = 20, (2, 10) is a pair factor of 20

4 × 5 = 20, (4, 5) is a pair factor of 20

Therefore, the positive pair factors are (1, 20), (2, 10), and (4, 5)

To find the negative pair factors of a number 20, then proceed with the following steps

If -1 × -20 = 20, then (-1,- 20) is a pair factor of 20.

Similarly,

-2 × -10 = 20, (-2, -10) is a pair factor of 20

-4 × -5 = 20, (-4, -5) is a pair factor of 20

Therefore, the negative pair factors are (-1, -20), (-2, -10),and (-4, -5)

### How to Find the Factors of 20?

Learn the following steps to find factors of a number 20.

• First, write the number 20
• Find the two numbers, which gives the result as 20 under the multiplication, say 2 and 10, such as 2 × 10 = 20.
• We know that 2 is a prime number which has only two factors, i.e., 1 and the number itself( 1 and 2). So, we cannot further factorize it.2 = 2 × 1
• But 10 is a composite number but not a prime number. So it can be further factorized.

10 = 2 × 5 × 1

• Therefore, the factorization of 20 is written as, 20 = 2 × 2 × 5 × 1
• Finally, write down all the unique numbers which we can obtain from 20 = 2 × 2 × 5 × 1
 Factors of 20 1, 2, 4, 5, 10, and 20

### Prime Factors of 20

The number 20 is a composite number and it has prime factors. Now let us know how to find the prime factors.

• The first step is to divide the number 20 with the smallest prime factor, say 2.

20 ÷ 2 = 10

Again, divide 10 by 2

10÷ 2 = 5

Now, if we divide 5 by 2 we will get a fractional number, which cannot be a factor.

• So, now proceed with the next prime numbers, i.e. 5

5 ÷ 5 = 1

• We have received 1 at the end in the division process and so that we cannot proceed further. So, the prime factors are written as 2 × 2 × 5 or 22 × 5, where 2 and 5 are the prime numbers.