Q: What are the prime factors of the number 13,606,476?

 A: 2, 3, 13, 87221

Why are those the prime factors of the number 13,606,476?

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 13,606,476

13,606,476
Factor Arrows
26,803,238
Factor Arrows
23,401,619
Factor Arrows
31,133,873
Factor Arrows
1387,221

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, 13, 87221

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 87,221 = 13,606,476

This can also be written as 22 x 31 x 131 x 87,2211 = 13,606,476

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


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