Q: What are the prime factors of the number 62,716,626?

 A: 2, 3, 7, 83, 1999

Why are those the prime factors of the number 62,716,626?

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 62,716,626

62,716,626
Factor Arrows
231,358,313
Factor Arrows
310,452,771
Factor Arrows
33,484,257
Factor Arrows
31,161,419
Factor Arrows
7165,917
Factor Arrows
831,999

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, 7, 83, 1999

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 83 x 1,999 = 62,716,626

This can also be written as 21 x 33 x 71 x 831 x 1,9991 = 62,716,626

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


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