Q: What are the prime factors of the number 90,303,904?

 A: 2, 2821997

Why are those the prime factors of the number 90,303,904?

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 90,303,904

90,303,904
Factor Arrows
245,151,952
Factor Arrows
222,575,976
Factor Arrows
211,287,988
Factor Arrows
25,643,994
Factor Arrows
22,821,997

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, 2821997

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2,821,997 = 90,303,904

This can also be written as 25 x 2,821,9971 = 90,303,904

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


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