Q: What are the prime factors of the number 88,663,520?

 A: 2, 5, 11, 50377

Why are those the prime factors of the number 88,663,520?

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 88,663,520

88,663,520
Factor Arrows
244,331,760
Factor Arrows
222,165,880
Factor Arrows
211,082,940
Factor Arrows
25,541,470
Factor Arrows
22,770,735
Factor Arrows
5554,147
Factor Arrows
1150,377

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, 11, 50377

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 11 x 50,377 = 88,663,520

This can also be written as 25 x 51 x 111 x 50,3771 = 88,663,520

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


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