Question

Find the prime factorization of 456​

Answer 1

The prime factorization of 456 is
`19 * 3 * 2^(3)`

Solution:

Given, number is 456

We have to find the prime factorization of the given number 456.

We know that, prime factorization is nothing but writing the number as product of powers of prime factors.

Now, 456 = 228 x 2 [taking out one by one factor]

= 114 x 2 x 2

`\begin{array}{l}{=57 * 2 * 2^(2)} \\ {=19 * 3 * 2^(3)}\end{array}`

Hence the prime factorization of 456 is
`19 * 3 * 2^(3)`