Q: What are the prime factors of the number 13,867,155?

 A: 3, 5, 17, 18127

Why are those the prime factors of the number 13,867,155?

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 13,867,155

13,867,155
Factor Arrows
34,622,385
Factor Arrows
31,540,795
Factor Arrows
5308,159
Factor Arrows
1718,127

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:

3, 5, 17, 18127

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 17 x 18,127 = 13,867,155

This can also be written as 32 x 51 x 171 x 18,1271 = 13,867,155

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


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