Q: What are the prime factors of the number 60,665,232?

 A: 2, 3, 61, 20719

Why are those the prime factors of the number 60,665,232?

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 60,665,232

60,665,232
Factor Arrows
230,332,616
Factor Arrows
215,166,308
Factor Arrows
27,583,154
Factor Arrows
23,791,577
Factor Arrows
31,263,859
Factor Arrows
6120,719

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, 61, 20719

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 61 x 20,719 = 60,665,232

This can also be written as 24 x 31 x 611 x 20,7191 = 60,665,232

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


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