Q: What are the prime factors of the number 88,723,844?

 A: 2, 11, 19, 106129

Why are those the prime factors of the number 88,723,844?

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 88,723,844

88,723,844
Factor Arrows
244,361,922
Factor Arrows
222,180,961
Factor Arrows
112,016,451
Factor Arrows
19106,129

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, 11, 19, 106129

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 19 x 106,129 = 88,723,844

This can also be written as 22 x 111 x 191 x 106,1291 = 88,723,844

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


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