Q: What are the prime factors of the number 85,388,373?

 A: 3, 7, 1355371

Why are those the prime factors of the number 85,388,373?

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 85,388,373

85,388,373
Factor Arrows
328,462,791
Factor Arrows
39,487,597
Factor Arrows
71,355,371

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, 7, 1355371

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 1,355,371 = 85,388,373

This can also be written as 32 x 71 x 1,355,3711 = 85,388,373

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


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