Q: What are the prime factors of the number 19,386,486?

 A: 2, 3, 7, 51287

Why are those the prime factors of the number 19,386,486?

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 19,386,486

19,386,486
Factor Arrows
29,693,243
Factor Arrows
33,231,081
Factor Arrows
31,077,027
Factor Arrows
3359,009
Factor Arrows
751,287

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, 51287

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 51,287 = 19,386,486

This can also be written as 21 x 33 x 71 x 51,2871 = 19,386,486

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


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