Q: What are the prime factors of the number 60,013,056?

 A: 2, 3, 89, 439

Why are those the prime factors of the number 60,013,056?

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 60,013,056

60,013,056
Factor Arrows
230,006,528
Factor Arrows
215,003,264
Factor Arrows
27,501,632
Factor Arrows
23,750,816
Factor Arrows
21,875,408
Factor Arrows
2937,704
Factor Arrows
2468,852
Factor Arrows
2234,426
Factor Arrows
2117,213
Factor Arrows
339,071
Factor Arrows
89439

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, 89, 439

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 2 x 2 x 3 x 89 x 439 = 60,013,056

This can also be written as 29 x 31 x 891 x 4391 = 60,013,056

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


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