Q: What are the prime factors of the number 18,087,056?

 A: 2, 13, 6689

Why are those the prime factors of the number 18,087,056?

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 18,087,056

18,087,056
Factor Arrows
29,043,528
Factor Arrows
24,521,764
Factor Arrows
22,260,882
Factor Arrows
21,130,441
Factor Arrows
1386,957
Factor Arrows
136,689

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, 13, 6689

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 13 x 6,689 = 18,087,056

This can also be written as 24 x 132 x 6,6891 = 18,087,056

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


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