Q: What are the prime factors of the number 85,062,750?

 A: 2, 3, 5, 113417

Why are those the prime factors of the number 85,062,750?

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 85,062,750

85,062,750
Factor Arrows
242,531,375
Factor Arrows
314,177,125
Factor Arrows
52,835,425
Factor Arrows
5567,085
Factor Arrows
5113,417

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:

2, 3, 5, 113417

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 5 x 113,417 = 85,062,750

This can also be written as 21 x 31 x 53 x 113,4171 = 85,062,750

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


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