Q: What are the prime factors of the number 20,343,708?

 A: 2, 3, 7, 11, 41, 179

Why are those the prime factors of the number 20,343,708?

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 20,343,708

20,343,708
Factor Arrows
210,171,854
Factor Arrows
25,085,927
Factor Arrows
31,695,309
Factor Arrows
3565,103
Factor Arrows
780,729
Factor Arrows
117,339
Factor Arrows
41179

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, 3, 7, 11, 41, 179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 11 x 41 x 179 = 20,343,708

This can also be written as 22 x 32 x 71 x 111 x 411 x 1791 = 20,343,708

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


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