Q: What are the prime factors of the number 323,101,010?

 A: 2, 5, 23, 311, 4517

Why are those the prime factors of the number 323,101,010?

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 323,101,010

323,101,010
Factor Arrows
2161,550,505
Factor Arrows
532,310,101
Factor Arrows
231,404,787
Factor Arrows
3114,517

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, 23, 311, 4517

We can check our work by multiplying all of the prime factors together: 2 x 5 x 23 x 311 x 4,517 = 323,101,010

This can also be written as 21 x 51 x 231 x 3111 x 4,5171 = 323,101,010

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


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