Q: What are the prime factors of the number 111,222,432?

 A: 2, 3, 17, 22717

Why are those the prime factors of the number 111,222,432?

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 111,222,432

111,222,432
Factor Arrows
255,611,216
Factor Arrows
227,805,608
Factor Arrows
213,902,804
Factor Arrows
26,951,402
Factor Arrows
23,475,701
Factor Arrows
31,158,567
Factor Arrows
3386,189
Factor Arrows
1722,717

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, 17, 22717

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 22,717 = 111,222,432

This can also be written as 25 x 32 x 171 x 22,7171 = 111,222,432

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


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