Q: What are the prime factors of the number 336,082,760?

 A: 2, 5, 13, 71, 9103

Why are those the prime factors of the number 336,082,760?

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 336,082,760

336,082,760
Factor Arrows
2168,041,380
Factor Arrows
284,020,690
Factor Arrows
242,010,345
Factor Arrows
58,402,069
Factor Arrows
13646,313
Factor Arrows
719,103

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, 13, 71, 9103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 13 x 71 x 9,103 = 336,082,760

This can also be written as 23 x 51 x 131 x 711 x 9,1031 = 336,082,760

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


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