Q: What are the prime factors of the number 46,628,068?

 A: 2, 179, 65123

Why are those the prime factors of the number 46,628,068?

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 46,628,068

46,628,068
Factor Arrows
223,314,034
Factor Arrows
211,657,017
Factor Arrows
17965,123

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, 179, 65123

We can check our work by multiplying all of the prime factors together: 2 x 2 x 179 x 65,123 = 46,628,068

This can also be written as 22 x 1791 x 65,1231 = 46,628,068

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


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