Q: What are the prime factors of the number 21,324,966?

 A: 2, 3, 13, 131, 2087

Why are those the prime factors of the number 21,324,966?

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 21,324,966

21,324,966
Factor Arrows
210,662,483
Factor Arrows
33,554,161
Factor Arrows
13273,397
Factor Arrows
1312,087

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, 13, 131, 2087

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 131 x 2,087 = 21,324,966

This can also be written as 21 x 31 x 131 x 1311 x 2,0871 = 21,324,966

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


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