Q: What are the prime factors of the number 111,906,375?

 A: 3, 5, 7, 89, 479

Why are those the prime factors of the number 111,906,375?

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 111,906,375

111,906,375
Factor Arrows
337,302,125
Factor Arrows
57,460,425
Factor Arrows
51,492,085
Factor Arrows
5298,417
Factor Arrows
742,631
Factor Arrows
89479

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:

3, 5, 7, 89, 479

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 5 x 7 x 89 x 479 = 111,906,375

This can also be written as 31 x 53 x 71 x 891 x 4791 = 111,906,375

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


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