Q: What are the prime factors of the number 60,628,876?

 A: 2, 7, 11, 61, 461

Why are those the prime factors of the number 60,628,876?

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 60,628,876

60,628,876
Factor Arrows
230,314,438
Factor Arrows
215,157,219
Factor Arrows
72,165,317
Factor Arrows
7309,331
Factor Arrows
1128,121
Factor Arrows
61461

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, 11, 61, 461

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 11 x 61 x 461 = 60,628,876

This can also be written as 22 x 72 x 111 x 611 x 4611 = 60,628,876

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


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