Q: What are the prime factors of the number 67,166,875?

 A: 5, 107467

Why are those the prime factors of the number 67,166,875?

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 67,166,875

67,166,875
Factor Arrows
513,433,375
Factor Arrows
52,686,675
Factor Arrows
5537,335
Factor Arrows
5107,467

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, 107467

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 5 x 107,467 = 67,166,875

This can also be written as 54 x 107,4671 = 67,166,875

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


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