Q: What are the prime factors of the number 325,021,122?

 A: 2, 3, 53, 340693

Why are those the prime factors of the number 325,021,122?

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 325,021,122

325,021,122
Factor Arrows
2162,510,561
Factor Arrows
354,170,187
Factor Arrows
318,056,729
Factor Arrows
53340,693

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, 53, 340693

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 53 x 340,693 = 325,021,122

This can also be written as 21 x 32 x 531 x 340,6931 = 325,021,122

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


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