Q: What are the prime factors of the number 20,331,486?

 A: 2, 3, 7, 17929

Why are those the prime factors of the number 20,331,486?

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 20,331,486

20,331,486
Factor Arrows
210,165,743
Factor Arrows
33,388,581
Factor Arrows
31,129,527
Factor Arrows
3376,509
Factor Arrows
3125,503
Factor Arrows
717,929

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, 17929

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 7 x 17,929 = 20,331,486

This can also be written as 21 x 34 x 71 x 17,9291 = 20,331,486

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


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