Question

what is the prime factorization of 8?

Explanation:

Step1: Recall prime factorization

Prime factorization means expressing a number as a product of prime numbers. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.

Step2: Factorize 8

We start by dividing 8 by the smallest prime number, which is 2.
\(8\div2 = 4\)
Then we factorize 4, again by 2: \(4\div2 = 2\)
And factorize 2 by 2: \(2\div2 = 1\)
So we have divided 8 by 2 three times. So the prime factorization of 8 is \(2\times2\times2\) or \(2^3\).

Answer:

\(2\times2\times2\) (or \(2^3\))