Q: What are the prime factors of the number 68,657,130?

 A: 2, 3, 5, 47, 16231

Why are those the prime factors of the number 68,657,130?

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 68,657,130

68,657,130
Factor Arrows
234,328,565
Factor Arrows
311,442,855
Factor Arrows
33,814,285
Factor Arrows
5762,857
Factor Arrows
4716,231

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, 47, 16231

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 47 x 16,231 = 68,657,130

This can also be written as 21 x 32 x 51 x 471 x 16,2311 = 68,657,130

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


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