Q: What are the prime factors of the number 68,950,167?

 A: 3, 11, 13, 160723

Why are those the prime factors of the number 68,950,167?

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 68,950,167

68,950,167
Factor Arrows
322,983,389
Factor Arrows
112,089,399
Factor Arrows
13160,723

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, 11, 13, 160723

We can check our work by multiplying all of the prime factors together: 3 x 11 x 13 x 160,723 = 68,950,167

This can also be written as 31 x 111 x 131 x 160,7231 = 68,950,167

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


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