Q: What are the prime factors of the number 8,496,495?

 A: 3, 5, 7, 37

Why are those the prime factors of the number 8,496,495?

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 8,496,495

8,496,495
Factor Arrows
32,832,165
Factor Arrows
3944,055
Factor Arrows
3314,685
Factor Arrows
3104,895
Factor Arrows
334,965
Factor Arrows
311,655
Factor Arrows
33,885
Factor Arrows
31,295
Factor Arrows
5259
Factor Arrows
737

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, 7, 37

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 37 = 8,496,495

This can also be written as 38 x 51 x 71 x 371 = 8,496,495

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


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