Q: What are the prime factors of the number 604,041,020?

 A: 2, 5, 11, 71, 38671

Why are those the prime factors of the number 604,041,020?

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 604,041,020

604,041,020
Factor Arrows
2302,020,510
Factor Arrows
2151,010,255
Factor Arrows
530,202,051
Factor Arrows
112,745,641
Factor Arrows
7138,671

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, 11, 71, 38671

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 71 x 38,671 = 604,041,020

This can also be written as 22 x 51 x 111 x 711 x 38,6711 = 604,041,020

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


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