Q: What are the prime factors of the number 19,983,976?

 A: 2, 17, 146941

Why are those the prime factors of the number 19,983,976?

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 19,983,976

19,983,976
Factor Arrows
29,991,988
Factor Arrows
24,995,994
Factor Arrows
22,497,997
Factor Arrows
17146,941

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, 17, 146941

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 146,941 = 19,983,976

This can also be written as 23 x 171 x 146,9411 = 19,983,976

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


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