Q: What are the prime factors of the number 13,196,718?

 A: 2, 3, 691, 1061

Why are those the prime factors of the number 13,196,718?

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 13,196,718

13,196,718
Factor Arrows
26,598,359
Factor Arrows
32,199,453
Factor Arrows
3733,151
Factor Arrows
6911,061

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, 691, 1061

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 691 x 1,061 = 13,196,718

This can also be written as 21 x 32 x 6911 x 1,0611 = 13,196,718

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


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