Q: What are the prime factors of the number 16,853,535?

 A: 3, 5, 127, 983

Why are those the prime factors of the number 16,853,535?

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 16,853,535

16,853,535
Factor Arrows
35,617,845
Factor Arrows
31,872,615
Factor Arrows
3624,205
Factor Arrows
5124,841
Factor Arrows
127983

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:

3, 5, 127, 983

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 127 x 983 = 16,853,535

This can also be written as 33 x 51 x 1271 x 9831 = 16,853,535

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


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