Prime factorization is when you break down the factors of 71 to just the prime factors and expressing 71 as a product of those prime factors.

In this case, because 71 is a prime number, we can simply state the primary factorization as 71.

For most numbers, we would take the smallest prime factor that is larger than 1 to start to break down the focus number. In this case, the smallest prime factor larger than 1 is 71.

71 ÷ 71 = 1

If we divide 71 by 71, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 71 is just 71.