Q: What are the prime factors of the number 62,471,682?

 A: 2, 3, 7, 13, 12713

Why are those the prime factors of the number 62,471,682?

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 62,471,682

62,471,682
Factor Arrows
231,235,841
Factor Arrows
310,411,947
Factor Arrows
33,470,649
Factor Arrows
31,156,883
Factor Arrows
7165,269
Factor Arrows
1312,713

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, 13, 12713

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 13 x 12,713 = 62,471,682

This can also be written as 21 x 33 x 71 x 131 x 12,7131 = 62,471,682

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


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