Q: What are the prime factors of the number 60,015,204?

 A: 2, 3, 113, 14753

Why are those the prime factors of the number 60,015,204?

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 60,015,204

60,015,204
Factor Arrows
230,007,602
Factor Arrows
215,003,801
Factor Arrows
35,001,267
Factor Arrows
31,667,089
Factor Arrows
11314,753

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, 113, 14753

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 113 x 14,753 = 60,015,204

This can also be written as 22 x 32 x 1131 x 14,7531 = 60,015,204

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


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