Q: What are the prime factors of the number 20,699,664?

 A: 2, 3, 19, 22697

Why are those the prime factors of the number 20,699,664?

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 20,699,664

20,699,664
Factor Arrows
210,349,832
Factor Arrows
25,174,916
Factor Arrows
22,587,458
Factor Arrows
21,293,729
Factor Arrows
3431,243
Factor Arrows
1922,697

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, 19, 22697

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 19 x 22,697 = 20,699,664

This can also be written as 24 x 31 x 191 x 22,6971 = 20,699,664

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


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