Q: What are the prime factors of the number 17,322,464?

 A: 2, 43, 12589

Why are those the prime factors of the number 17,322,464?

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 17,322,464

17,322,464
Factor Arrows
28,661,232
Factor Arrows
24,330,616
Factor Arrows
22,165,308
Factor Arrows
21,082,654
Factor Arrows
2541,327
Factor Arrows
4312,589

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, 43, 12589

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 43 x 12,589 = 17,322,464

This can also be written as 25 x 431 x 12,5891 = 17,322,464

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


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