Q: What are the prime factors of the number 21,001,644?

 A: 2, 3, 37, 15767

Why are those the prime factors of the number 21,001,644?

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 21,001,644

21,001,644
Factor Arrows
210,500,822
Factor Arrows
25,250,411
Factor Arrows
31,750,137
Factor Arrows
3583,379
Factor Arrows
3715,767

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, 37, 15767

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 37 x 15,767 = 21,001,644

This can also be written as 22 x 32 x 371 x 15,7671 = 21,001,644

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


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