Q: What are the prime factors of the number 664,341,020?

 A: 2, 5, 7, 79, 8581

Why are those the prime factors of the number 664,341,020?

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 664,341,020

664,341,020
Factor Arrows
2332,170,510
Factor Arrows
2166,085,255
Factor Arrows
533,217,051
Factor Arrows
74,745,293
Factor Arrows
7677,899
Factor Arrows
798,581

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, 7, 79, 8581

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 7 x 79 x 8,581 = 664,341,020

This can also be written as 22 x 51 x 72 x 791 x 8,5811 = 664,341,020

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


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