Q: What are the prime factors of the number 60,510,008?

 A: 2, 13, 29, 20063

Why are those the prime factors of the number 60,510,008?

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 60,510,008

60,510,008
Factor Arrows
230,255,004
Factor Arrows
215,127,502
Factor Arrows
27,563,751
Factor Arrows
13581,827
Factor Arrows
2920,063

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, 13, 29, 20063

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 29 x 20,063 = 60,510,008

This can also be written as 23 x 131 x 291 x 20,0631 = 60,510,008

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


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