Q: What are the prime factors of the number 13,668,471?

 A: 3, 59, 25741

Why are those the prime factors of the number 13,668,471?

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 13,668,471

13,668,471
Factor Arrows
34,556,157
Factor Arrows
31,518,719
Factor Arrows
5925,741

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, 59, 25741

We can check our work by multiplying all of the prime factors together: 3 x 3 x 59 x 25,741 = 13,668,471

This can also be written as 32 x 591 x 25,7411 = 13,668,471

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


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