# What is the prime factorization of 46?

#### Understand the Problem

The question is asking for the prime factorization of the number 46, which involves breaking it down into its prime factors.

The prime factorization of 46 is $2 \times 23$.

The prime factorization of 46 is $2 \times 23$.

#### Steps to Solve

1. Identify if 46 is an even number

Since 46 ends in a 6, it is an even number. Therefore, it is divisible by 2, the smallest prime number.

1. Divide 46 by 2

To find one of the prime factors, we divide 46 by 2:

$$46 \div 2 = 23$$

Thus, we have found that one of the prime factors is 2.

1. Check if the result (23) is a prime number

Next, we need to check if 23 is a prime number. A prime number has no divisors other than 1 and itself. The factors of 23 are only 1 and 23.

1. Conclude the factorization

Since we have 2 as a prime factor and 23 is also a prime number, the complete prime factorization of 46 is:

$$46 = 2 \times 23$$

The prime factorization of 46 is $2 \times 23$.