Q: What are the prime factors of the number 95,931,725?

 A: 5, 479, 8011

Why are those the prime factors of the number 95,931,725?

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 95,931,725

95,931,725
Factor Arrows
519,186,345
Factor Arrows
53,837,269
Factor Arrows
4798,011

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, 479, 8011

We can check our work by multiplying all of the prime factors together: 5 x 5 x 479 x 8,011 = 95,931,725

This can also be written as 52 x 4791 x 8,0111 = 95,931,725

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


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