Q: What are the prime factors of the number 60,520,068?

 A: 2, 3, 7, 17, 277

Why are those the prime factors of the number 60,520,068?

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 60,520,068

60,520,068
Factor Arrows
230,260,034
Factor Arrows
215,130,017
Factor Arrows
35,043,339
Factor Arrows
31,681,113
Factor Arrows
3560,371
Factor Arrows
780,053
Factor Arrows
174,709
Factor Arrows
17277

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, 7, 17, 277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 7 x 17 x 17 x 277 = 60,520,068

This can also be written as 22 x 33 x 71 x 172 x 2771 = 60,520,068

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


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