Q: What are the prime factors of the number 321,043,020?

 A: 2, 3, 5, 157, 173, 197

Why are those the prime factors of the number 321,043,020?

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 321,043,020

321,043,020
Factor Arrows
2160,521,510
Factor Arrows
280,260,755
Factor Arrows
326,753,585
Factor Arrows
55,350,717
Factor Arrows
15734,081
Factor Arrows
173197

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, 5, 157, 173, 197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 157 x 173 x 197 = 321,043,020

This can also be written as 22 x 31 x 51 x 1571 x 1731 x 1971 = 321,043,020

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


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