Q: What are the prime factors of the number 321,331,322?

 A: 2, 13, 151, 81847

Why are those the prime factors of the number 321,331,322?

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 321,331,322

321,331,322
Factor Arrows
2160,665,661
Factor Arrows
1312,358,897
Factor Arrows
15181,847

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, 13, 151, 81847

We can check our work by multiplying all of the prime factors together: 2 x 13 x 151 x 81,847 = 321,331,322

This can also be written as 21 x 131 x 1511 x 81,8471 = 321,331,322

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


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