Q: What are the prime factors of the number 325,002,062?

 A: 2, 7, 11, 349, 6047

Why are those the prime factors of the number 325,002,062?

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 325,002,062

325,002,062
Factor Arrows
2162,501,031
Factor Arrows
723,214,433
Factor Arrows
112,110,403
Factor Arrows
3496,047

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, 11, 349, 6047

We can check our work by multiplying all of the prime factors together: 2 x 7 x 11 x 349 x 6,047 = 325,002,062

This can also be written as 21 x 71 x 111 x 3491 x 6,0471 = 325,002,062

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


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