Q: What are the prime factors of the number 101,115,540?

 A: 2, 3, 5, 62417

Why are those the prime factors of the number 101,115,540?

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 101,115,540

101,115,540
Factor Arrows
250,557,770
Factor Arrows
225,278,885
Factor Arrows
38,426,295
Factor Arrows
32,808,765
Factor Arrows
3936,255
Factor Arrows
3312,085
Factor Arrows
562,417

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, 62417

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 5 x 62,417 = 101,115,540

This can also be written as 22 x 34 x 51 x 62,4171 = 101,115,540

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


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