Q: What are the prime factors of the number 16,645,056?

 A: 2, 3, 86693

Why are those the prime factors of the number 16,645,056?

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 16,645,056

16,645,056
Factor Arrows
28,322,528
Factor Arrows
24,161,264
Factor Arrows
22,080,632
Factor Arrows
21,040,316
Factor Arrows
2520,158
Factor Arrows
2260,079
Factor Arrows
386,693

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, 86693

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 86,693 = 16,645,056

This can also be written as 26 x 31 x 86,6931 = 16,645,056

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


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