Q: What are the prime factors of the number 321,012,034?

 A: 2, 7, 3275633

Why are those the prime factors of the number 321,012,034?

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 321,012,034

321,012,034
Factor Arrows
2160,506,017
Factor Arrows
722,929,431
Factor Arrows
73,275,633

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, 7, 3275633

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 3,275,633 = 321,012,034

This can also be written as 21 x 72 x 3,275,6331 = 321,012,034

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


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