# What's one way we can check our answer to 2 × 10 = 20?

We can use the factorization of a bigger factor into its smaller sub-parts to prove the identity.

## Answer: We can make use of the prime factorization or additive property by adding all the factors of 20 in multiplicative form.

Let us go through the explanation given below to understand better.

**Explanation:**

Given, 2 × 10 = 20

Taking R.H.S into consideration which is 20

Splitting it into factors of 2.

= 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2

= 2 × (1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1)

= 2 × 10 = L.H.S

Since, L.H.S = R.H.S, hence the equation holds true.

**Alternatively,**

Let's write the prime factorization of 20:

20 = 2 × 2 × 5

= 2 × (2 × 5)

= 2 × 10