Q: What are the prime factors of the number 62,751,164?

 A: 2, 7, 45737

Why are those the prime factors of the number 62,751,164?

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 62,751,164

62,751,164
Factor Arrows
231,375,582
Factor Arrows
215,687,791
Factor Arrows
72,241,113
Factor Arrows
7320,159
Factor Arrows
745,737

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:

2, 7, 45737

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 7 x 45,737 = 62,751,164

This can also be written as 22 x 73 x 45,7371 = 62,751,164

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


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