Prime factorization is when you break down the factors of 37 to just the prime factors and expressing 37 as a product of those prime factors.
In this case, because 37 is a prime number, we can simply state the primary factorization as 37.
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 37.
37 ÷ 37 = 1
If we divide 37 by 37, we simply get 1, which can’t be broken down any further.
So, the prime factorization of 37 is just 37.