Q: What are the prime factors of the number 14,763,864?

 A: 2, 3, 615161

Why are those the prime factors of the number 14,763,864?

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 14,763,864

14,763,864
Factor Arrows
27,381,932
Factor Arrows
23,690,966
Factor Arrows
21,845,483
Factor Arrows
3615,161

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, 615161

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 615,161 = 14,763,864

This can also be written as 23 x 31 x 615,1611 = 14,763,864

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


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