Q: What are the prime factors of the number 88,840,720?

 A: 2, 5, 23, 53, 911

Why are those the prime factors of the number 88,840,720?

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 88,840,720

88,840,720
Factor Arrows
244,420,360
Factor Arrows
222,210,180
Factor Arrows
211,105,090
Factor Arrows
25,552,545
Factor Arrows
51,110,509
Factor Arrows
2348,283
Factor Arrows
53911

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, 23, 53, 911

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 23 x 53 x 911 = 88,840,720

This can also be written as 24 x 51 x 231 x 531 x 9111 = 88,840,720

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


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