Q: What are the prime factors of the number 10,767,505?

 A: 5, 7, 71, 619

Why are those the prime factors of the number 10,767,505?

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 10,767,505

10,767,505
Factor Arrows
52,153,501
Factor Arrows
7307,643
Factor Arrows
743,949
Factor Arrows
71619

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:

5, 7, 71, 619

We can check our work by multiplying all of the prime factors together: 5 x 7 x 7 x 71 x 619 = 10,767,505

This can also be written as 51 x 72 x 711 x 6191 = 10,767,505

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


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