What is the prime factorization of 112?

The prime factorization of 112 is 2 x 2 x 2 x 14, or more simply, 2³ x 7.

To break this down:

1. First, we divide 112 by the smallest prime number, which is 2:
   112 ÷ 2 = 56
2. We divide 56 by 2 again:
   56 ÷ 2 = 28
3. Dividing 28 by 2 gives us:
   28 ÷ 2 = 14
4. Lastly, dividing 14 by 2 leads to:
   14 ÷ 2 = 7

Now we have reached 7, which is also a prime number.

Putting this all together, we see that 112 can be expressed as the product of its prime factors: 2 x 2 x 2 x 7, or using exponents, 2³ x 7.