Q: What are the prime factors of the number 60,655,616?

 A: 2, 7, 4231

Why are those the prime factors of the number 60,655,616?

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 60,655,616

60,655,616
Factor Arrows
230,327,808
Factor Arrows
215,163,904
Factor Arrows
27,581,952
Factor Arrows
23,790,976
Factor Arrows
21,895,488
Factor Arrows
2947,744
Factor Arrows
2473,872
Factor Arrows
2236,936
Factor Arrows
2118,468
Factor Arrows
259,234
Factor Arrows
229,617
Factor Arrows
74,231

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, 7, 4231

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 4,231 = 60,655,616

This can also be written as 211 x 71 x 4,2311 = 60,655,616

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


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