Q: What are the prime factors of the number 13,837,576?

 A: 2, 1729697

Why are those the prime factors of the number 13,837,576?

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 13,837,576

13,837,576
Factor Arrows
26,918,788
Factor Arrows
23,459,394
Factor Arrows
21,729,697

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, 1729697

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 1,729,697 = 13,837,576

This can also be written as 23 x 1,729,6971 = 13,837,576

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


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