Q: What are the prime factors of the number 21,637,812?

 A: 2, 3, 7, 751

Why are those the prime factors of the number 21,637,812?

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 21,637,812

21,637,812
Factor Arrows
210,818,906
Factor Arrows
25,409,453
Factor Arrows
31,803,151
Factor Arrows
7257,593
Factor Arrows
736,799
Factor Arrows
75,257
Factor Arrows
7751

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, 7, 751

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 7 x 7 x 7 x 751 = 21,637,812

This can also be written as 22 x 31 x 74 x 7511 = 21,637,812

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


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