Q: What are the prime factors of the number 16,855,587?

 A: 3, 7, 101, 883

Why are those the prime factors of the number 16,855,587?

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 16,855,587

16,855,587
Factor Arrows
35,618,529
Factor Arrows
31,872,843
Factor Arrows
3624,281
Factor Arrows
789,183
Factor Arrows
101883

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, 7, 101, 883

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 101 x 883 = 16,855,587

This can also be written as 33 x 71 x 1011 x 8831 = 16,855,587

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


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