Q: What are the prime factors of the number 88,482,120?

 A: 2, 3, 5, 737351

Why are those the prime factors of the number 88,482,120?

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 88,482,120

88,482,120
Factor Arrows
244,241,060
Factor Arrows
222,120,530
Factor Arrows
211,060,265
Factor Arrows
33,686,755
Factor Arrows
5737,351

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, 3, 5, 737351

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 737,351 = 88,482,120

This can also be written as 23 x 31 x 51 x 737,3511 = 88,482,120

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


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