Q: What are the prime factors of the number 60,605,568?

 A: 2, 3, 52609

Why are those the prime factors of the number 60,605,568?

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 60,605,568

60,605,568
Factor Arrows
230,302,784
Factor Arrows
215,151,392
Factor Arrows
27,575,696
Factor Arrows
23,787,848
Factor Arrows
21,893,924
Factor Arrows
2946,962
Factor Arrows
2473,481
Factor Arrows
3157,827
Factor Arrows
352,609

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, 52609

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 3 x 3 x 52,609 = 60,605,568

This can also be written as 27 x 32 x 52,6091 = 60,605,568

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


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