Q: What are the prime factors of the number 62,745,327?

 A: 3, 71, 461

Why are those the prime factors of the number 62,745,327?

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 62,745,327

62,745,327
Factor Arrows
320,915,109
Factor Arrows
36,971,703
Factor Arrows
32,323,901
Factor Arrows
7132,731
Factor Arrows
71461

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, 71, 461

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 71 x 71 x 461 = 62,745,327

This can also be written as 33 x 712 x 4611 = 62,745,327

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


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