Q: What are the prime factors of the number 20,321,118?

 A: 2, 3, 41813

Why are those the prime factors of the number 20,321,118?

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 20,321,118

20,321,118
Factor Arrows
210,160,559
Factor Arrows
33,386,853
Factor Arrows
31,128,951
Factor Arrows
3376,317
Factor Arrows
3125,439
Factor Arrows
341,813

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, 41813

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 41,813 = 20,321,118

This can also be written as 21 x 35 x 41,8131 = 20,321,118

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


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