Q: What are the prime factors of the number 18,014,016?

 A: 2, 3, 17, 5519

Why are those the prime factors of the number 18,014,016?

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 18,014,016

18,014,016
Factor Arrows
29,007,008
Factor Arrows
24,503,504
Factor Arrows
22,251,752
Factor Arrows
21,125,876
Factor Arrows
2562,938
Factor Arrows
2281,469
Factor Arrows
393,823
Factor Arrows
175,519

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, 17, 5519

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 5,519 = 18,014,016

This can also be written as 26 x 31 x 171 x 5,5191 = 18,014,016

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


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