Q: What are the prime factors of the number 111,367,500?

 A: 2, 3, 5, 31, 479

Why are those the prime factors of the number 111,367,500?

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 111,367,500

111,367,500
Factor Arrows
255,683,750
Factor Arrows
227,841,875
Factor Arrows
39,280,625
Factor Arrows
51,856,125
Factor Arrows
5371,225
Factor Arrows
574,245
Factor Arrows
514,849
Factor Arrows
31479

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, 5, 31, 479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 5 x 5 x 31 x 479 = 111,367,500

This can also be written as 22 x 31 x 54 x 311 x 4791 = 111,367,500

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


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