Q: What are the prime factors of the number 62,748,870?

 A: 2, 3, 5, 17, 61, 2017

Why are those the prime factors of the number 62,748,870?

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 62,748,870

62,748,870
Factor Arrows
231,374,435
Factor Arrows
310,458,145
Factor Arrows
52,091,629
Factor Arrows
17123,037
Factor Arrows
612,017

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, 17, 61, 2017

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 17 x 61 x 2,017 = 62,748,870

This can also be written as 21 x 31 x 51 x 171 x 611 x 2,0171 = 62,748,870

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


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