Q: What are the prime factors of the number 60,602,752?

 A: 2, 7, 239, 283

Why are those the prime factors of the number 60,602,752?

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 60,602,752

60,602,752
Factor Arrows
230,301,376
Factor Arrows
215,150,688
Factor Arrows
27,575,344
Factor Arrows
23,787,672
Factor Arrows
21,893,836
Factor Arrows
2946,918
Factor Arrows
2473,459
Factor Arrows
767,637
Factor Arrows
239283

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, 7, 239, 283

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 7 x 239 x 283 = 60,602,752

This can also be written as 27 x 71 x 2391 x 2831 = 60,602,752

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


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