Q: What are the prime factors of the number 604,015,008?

 A: 2, 3, 149, 42227

Why are those the prime factors of the number 604,015,008?

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 604,015,008

604,015,008
Factor Arrows
2302,007,504
Factor Arrows
2151,003,752
Factor Arrows
275,501,876
Factor Arrows
237,750,938
Factor Arrows
218,875,469
Factor Arrows
36,291,823
Factor Arrows
14942,227

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, 149, 42227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 149 x 42,227 = 604,015,008

This can also be written as 25 x 31 x 1491 x 42,2271 = 604,015,008

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


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