How do you write the prime factorization of 46?

To find the prime factorization of the number 46, you can follow these steps:

Start with the number 46.
Begin by dividing it by the smallest prime number, which is 2. Since 46 is an even number, it can be divided by 2 without any remainder.
46 ÷ 2 = 23
So, you have now factored out a 2 from 46, and you are left with 23. Since 23 is a prime number itself, you cannot divide it further by any smaller prime numbers.

Therefore, the prime factorization of 46 is simply 2 × 23. These are the prime factors of 46.