Write the prime factorization of 105. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit

Sure, here is the prime factorization of 105:

1. First, we find the smallest prime number, which is 2. But 105 is not divisible by 2. So, we move to the next prime number, which is 3. But 105 is not divisible by 3 either.
2. The next prime number is 5. 105 is divisible by 5. So, we divide 105 by 5 and get 21.
3. Now, we try to divide 21 by the smallest prime number, which is 2. But 21 is not divisible by 2. So, we move to the next prime number, which is 3. 21 is divisible by 3. So, we divide 21 by 3 and get 7.
4. Now, we try to divide 7 by the smallest prime number, which is 2. But 7 is not divisible by 2. So, we move to the next prime number, which is 3. But 7 is not divisible by 3 either. So, we move to the next prime number, which is 5. But 7 is not divisible by 5 either. So, we move to the next prime number, which is 7. 7 is divisible by 7. So, we divide 7 by 7 and get 1.
5. Now, we have reached 1, so we stop.

Therefore, the prime factorization of 105 is 5 x 3 x 7.