Q: What are the prime factors of the number 320,034,429?

 A: 3, 11, 13, 82889

Why are those the prime factors of the number 320,034,429?

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 320,034,429

320,034,429
Factor Arrows
3106,678,143
Factor Arrows
335,559,381
Factor Arrows
311,853,127
Factor Arrows
111,077,557
Factor Arrows
1382,889

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, 11, 13, 82889

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 11 x 13 x 82,889 = 320,034,429

This can also be written as 33 x 111 x 131 x 82,8891 = 320,034,429

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


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