Q: What are the prime factors of the number 604,041,018?

 A: 2, 3, 7, 199, 72271

Why are those the prime factors of the number 604,041,018?

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 604,041,018

604,041,018
Factor Arrows
2302,020,509
Factor Arrows
3100,673,503
Factor Arrows
714,381,929
Factor Arrows
19972,271

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, 7, 199, 72271

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 199 x 72,271 = 604,041,018

This can also be written as 21 x 31 x 71 x 1991 x 72,2711 = 604,041,018

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


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