Q: What are the prime factors of the number 117,040,625?

 A: 5, 13, 43, 67

Why are those the prime factors of the number 117,040,625?

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 117,040,625

117,040,625
Factor Arrows
523,408,125
Factor Arrows
54,681,625
Factor Arrows
5936,325
Factor Arrows
5187,265
Factor Arrows
537,453
Factor Arrows
132,881
Factor Arrows
4367

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, 13, 43, 67

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 5 x 5 x 13 x 43 x 67 = 117,040,625

This can also be written as 55 x 131 x 431 x 671 = 117,040,625

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


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