Q: What are the prime factors of the number 85,171,835?

 A: 5, 7, 907, 2683

Why are those the prime factors of the number 85,171,835?

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 85,171,835

85,171,835
Factor Arrows
517,034,367
Factor Arrows
72,433,481
Factor Arrows
9072,683

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, 7, 907, 2683

We can check our work by multiplying all of the prime factors together: 5 x 7 x 907 x 2,683 = 85,171,835

This can also be written as 51 x 71 x 9071 x 2,6831 = 85,171,835

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


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