What is the prime factorization of 88?

The prime factorization of 88 is 2 x 2 x 2 x 11, or in exponential form, it can be written as 2³ x 11.

To find the prime factorization, we start by dividing 88 by the smallest prime number, which is 2.

88 divided by 2 equals 44. We can divide 44 by 2 again, yielding 22. Dividing 22 by 2 gives us 11. Now we cannot divide 11 by 2 anymore since it is no longer even. However, 11 is a prime number, so we stop here.

Now, putting it all together, we see that 88 can be expressed as 2 x 2 x 2 x 11, or 2³ x 11, which proves that these are the prime factors of 88.