Q: What are the prime factors of the number 16,808,886?

 A: 2, 3, 17, 163, 337

Why are those the prime factors of the number 16,808,886?

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 16,808,886

16,808,886
Factor Arrows
28,404,443
Factor Arrows
32,801,481
Factor Arrows
3933,827
Factor Arrows
1754,931
Factor Arrows
163337

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, 163, 337

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 17 x 163 x 337 = 16,808,886

This can also be written as 21 x 32 x 171 x 1631 x 3371 = 16,808,886

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


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