Q: What are the prime factors of the number 60,065,664?

 A: 2, 3, 156421

Why are those the prime factors of the number 60,065,664?

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 60,065,664

60,065,664
Factor Arrows
230,032,832
Factor Arrows
215,016,416
Factor Arrows
27,508,208
Factor Arrows
23,754,104
Factor Arrows
21,877,052
Factor Arrows
2938,526
Factor Arrows
2469,263
Factor Arrows
3156,421

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, 156421

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 156,421 = 60,065,664

This can also be written as 27 x 31 x 156,4211 = 60,065,664

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


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