Q: What are the prime factors of the number 13,555,068?

 A: 2, 3, 53, 21313

Why are those the prime factors of the number 13,555,068?

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 13,555,068

13,555,068
Factor Arrows
26,777,534
Factor Arrows
23,388,767
Factor Arrows
31,129,589
Factor Arrows
5321,313

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, 53, 21313

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 53 x 21,313 = 13,555,068

This can also be written as 22 x 31 x 531 x 21,3131 = 13,555,068

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


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