 # Factors of 20

The factors of 20 are the numbers, which produce the result as 20 when a pair of factors are multiplied together. These factors are 1,2,4,5,10 and 20.

Factor pairs of the number, that results in original number when multiplied together. 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)

### 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.