How do you find the prime factorization of 99 using a division ladder?

1 Answer
May 18, 2016

The prime factorization is: #99=3xx3xx11=3^2xx11#.
See explanation for details.

Explanation:

This is the division ladder for number #99#.

99 | 3
33 | 3
1 1 | 11
1

On the left side you write the results of the division, on the right side you write the prime factors in increasing order.

  1. 99 is an odd number so you skip #2# but it can be divided by #3#. The result is #33#.
  2. So you get #33#. Again it is an odd number, but it can be divided by #3#. The result is #11#.
  3. Finally #11# is a prime number, so it can only be divided by #11#

The prime factorization is: #99=3xx3xx11=3^2xx11#