Q: What are the prime factors of the number 111,233,328?

 A: 2, 3, 29, 41, 1949

Why are those the prime factors of the number 111,233,328?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 111,233,328

111,233,328
Factor Arrows
255,616,664
Factor Arrows
227,808,332
Factor Arrows
213,904,166
Factor Arrows
26,952,083
Factor Arrows
32,317,361
Factor Arrows
2979,909
Factor Arrows
411,949

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 29, 41, 1949

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 29 x 41 x 1,949 = 111,233,328

This can also be written as 24 x 31 x 291 x 411 x 1,9491 = 111,233,328

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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