Q: What are the prime factors of the number 68,625,860?

 A: 2, 5, 463, 7411

Why are those the prime factors of the number 68,625,860?

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 68,625,860

68,625,860
Factor Arrows
234,312,930
Factor Arrows
217,156,465
Factor Arrows
53,431,293
Factor Arrows
4637,411

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, 5, 463, 7411

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 463 x 7,411 = 68,625,860

This can also be written as 22 x 51 x 4631 x 7,4111 = 68,625,860

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


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