Q: What are the prime factors of the number 19,988,944?

 A: 2, 641, 1949

Why are those the prime factors of the number 19,988,944?

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 19,988,944

19,988,944
Factor Arrows
29,994,472
Factor Arrows
24,997,236
Factor Arrows
22,498,618
Factor Arrows
21,249,309
Factor Arrows
6411,949

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, 641, 1949

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 641 x 1,949 = 19,988,944

This can also be written as 24 x 6411 x 1,9491 = 19,988,944

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


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