Q: What are the prime factors of the number 80,445,504?

 A: 2, 3, 418987

Why are those the prime factors of the number 80,445,504?

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 80,445,504

80,445,504
Factor Arrows
240,222,752
Factor Arrows
220,111,376
Factor Arrows
210,055,688
Factor Arrows
25,027,844
Factor Arrows
22,513,922
Factor Arrows
21,256,961
Factor Arrows
3418,987

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, 418987

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 3 x 418,987 = 80,445,504

This can also be written as 26 x 31 x 418,9871 = 80,445,504

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


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