Q: What are the prime factors of the number 88,511,778?

 A: 2, 3, 182123

Why are those the prime factors of the number 88,511,778?

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 88,511,778

88,511,778
Factor Arrows
244,255,889
Factor Arrows
314,751,963
Factor Arrows
34,917,321
Factor Arrows
31,639,107
Factor Arrows
3546,369
Factor Arrows
3182,123

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, 3, 182123

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 182,123 = 88,511,778

This can also be written as 21 x 35 x 182,1231 = 88,511,778

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


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