Q: What are the prime factors of the number 352,204,119?

 A: 3, 383, 11353

Why are those the prime factors of the number 352,204,119?

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 352,204,119

352,204,119
Factor Arrows
3117,401,373
Factor Arrows
339,133,791
Factor Arrows
313,044,597
Factor Arrows
34,348,199
Factor Arrows
38311,353

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:

3, 383, 11353

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 383 x 11,353 = 352,204,119

This can also be written as 34 x 3831 x 11,3531 = 352,204,119

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


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