Q: What are the prime factors of the number 88,837,120?

 A: 2, 5, 17351

Why are those the prime factors of the number 88,837,120?

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 88,837,120

88,837,120
Factor Arrows
244,418,560
Factor Arrows
222,209,280
Factor Arrows
211,104,640
Factor Arrows
25,552,320
Factor Arrows
22,776,160
Factor Arrows
21,388,080
Factor Arrows
2694,040
Factor Arrows
2347,020
Factor Arrows
2173,510
Factor Arrows
286,755
Factor Arrows
517,351

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, 5, 17351

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17,351 = 88,837,120

This can also be written as 210 x 51 x 17,3511 = 88,837,120

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


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