Q: What are the prime factors of the number 16,693,592?

 A: 2, 17, 131, 937

Why are those the prime factors of the number 16,693,592?

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 16,693,592

16,693,592
Factor Arrows
28,346,796
Factor Arrows
24,173,398
Factor Arrows
22,086,699
Factor Arrows
17122,747
Factor Arrows
131937

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, 17, 131, 937

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 131 x 937 = 16,693,592

This can also be written as 23 x 171 x 1311 x 9371 = 16,693,592

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


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