Q: What are the prime factors of the number 60,628,875?

 A: 3, 5, 107, 1511

Why are those the prime factors of the number 60,628,875?

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 60,628,875

60,628,875
Factor Arrows
320,209,625
Factor Arrows
54,041,925
Factor Arrows
5808,385
Factor Arrows
5161,677
Factor Arrows
1071,511

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:

3, 5, 107, 1511

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 5 x 107 x 1,511 = 60,628,875

This can also be written as 31 x 53 x 1071 x 1,5111 = 60,628,875

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


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