Q: What are the prime factors of the number 13,160,556?

 A: 2, 3, 151, 269

Why are those the prime factors of the number 13,160,556?

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 13,160,556

13,160,556
Factor Arrows
26,580,278
Factor Arrows
23,290,139
Factor Arrows
31,096,713
Factor Arrows
3365,571
Factor Arrows
3121,857
Factor Arrows
340,619
Factor Arrows
151269

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, 151, 269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 151 x 269 = 13,160,556

This can also be written as 22 x 34 x 1511 x 2691 = 13,160,556

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


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