Q: What are the prime factors of the number 117,564,115?

 A: 5, 19, 29, 139, 307

Why are those the prime factors of the number 117,564,115?

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 117,564,115

117,564,115
Factor Arrows
523,512,823
Factor Arrows
191,237,517
Factor Arrows
2942,673
Factor Arrows
139307

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:

5, 19, 29, 139, 307

We can check our work by multiplying all of the prime factors together: 5 x 19 x 29 x 139 x 307 = 117,564,115

This can also be written as 51 x 191 x 291 x 1391 x 3071 = 117,564,115

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


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