The factors of the number 20 are the numbers that divide evenly into 20 without leaving a remainder. The factors of 20 are: 1, 2, 4, 5, 10, and 20.

## How many Factors of 20

To find the total number of factors of 20, we can determine all the possible combinations of its prime factors.

First, let’s prime factorize 20:

20 = 2^2 * 5

The exponents indicate the number of times each prime factor is repeated. In this case, we have two 2’s and one 5.

To find the factors of 20, we can consider all the possible combinations of these prime factors.

For the 2’s, we have three options: 0, 1, or 2 of them included in the factor.

For the 5, we have two options: 0 or 1 of them included in the factor.

So, the total number of factors can be calculated by multiplying the number of options for each prime factor:

Number of factors = (number of options for the first prime factor + 1) * (number of options for the second prime factor + 1)

In this case, the number of factors of 20 is (2 + 1) * (1 + 1) = 3 * 2 = 6.

Therefore, the number 20 has a total of 6 factors.

#### Factor Pairs of 20

Factor pairs of 20 are the pairs of numbers that, when multiplied together, result in 20. The factor pairs of 20 are:

1 x 20 = 20

2 x 10 = 20

4 x 5 = 20

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

#### All Factors of 20 using Multiplication

To list all the factors of 20 using multiplication, we can systematically multiply the divisors of 20 together. The divisors of 20 are 1, 2, 4, 5, 10, and 20.

1 * 20 = 20

2 * 10 = 20

4 * 5 = 20

Therefore, the factors of 20 using multiplication are 1, 2, 4, 5, 10, and 20.