Q: What are the prime factors of the number 21,915,909?

 A: 3, 29, 83969

Why are those the prime factors of the number 21,915,909?

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 21,915,909

21,915,909
Factor Arrows
37,305,303
Factor Arrows
32,435,101
Factor Arrows
2983,969

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:

3, 29, 83969

We can check our work by multiplying all of the prime factors together: 3 x 3 x 29 x 83,969 = 21,915,909

This can also be written as 32 x 291 x 83,9691 = 21,915,909

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


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