Write the prime factorization of 185. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit

The prime factorization of a number is the expression of that number as a product of prime numbers. Here are the steps to find the prime factorization of 185:

1. First, find the smallest prime number (which is 2) that can divide 185. In this case, 185 is not divisible by 2 because it's an odd number.

2. The next prime number is 3, but 185 is not divisible by 3 either.

3. Continue this process with the next prime numbers (5, 7, 11, 13, etc.) until you find one that can divide 185. In this case, 185 is divisible by 5. The quotient is 37.

4. Now, repeat the process with the quotient (37). The smallest prime number that can divide 37 is 37 itself.

5. Therefore, the prime factorization of 185 is 5 * 37.

Note: There are no exponents in this prime factorization because each prime factor is unique.