Q: What are the prime factors of the number 16,551,616?

 A: 2, 107, 2417

Why are those the prime factors of the number 16,551,616?

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 16,551,616

16,551,616
Factor Arrows
28,275,808
Factor Arrows
24,137,904
Factor Arrows
22,068,952
Factor Arrows
21,034,476
Factor Arrows
2517,238
Factor Arrows
2258,619
Factor Arrows
1072,417

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, 107, 2417

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 107 x 2,417 = 16,551,616

This can also be written as 26 x 1071 x 2,4171 = 16,551,616

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


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