Q: What are the prime factors of the number 111,440,115?

 A: 3, 5, 37, 66931

Why are those the prime factors of the number 111,440,115?

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 111,440,115

111,440,115
Factor Arrows
337,146,705
Factor Arrows
312,382,235
Factor Arrows
52,476,447
Factor Arrows
3766,931

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, 37, 66931

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 37 x 66,931 = 111,440,115

This can also be written as 32 x 51 x 371 x 66,9311 = 111,440,115

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


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