Q: What are the prime factors of the number 16,287,887?

 A: 7, 11, 17, 23, 541

Why are those the prime factors of the number 16,287,887?

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 16,287,887

16,287,887
Factor Arrows
72,326,841
Factor Arrows
11211,531
Factor Arrows
1712,443
Factor Arrows
23541

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:

7, 11, 17, 23, 541

We can check our work by multiplying all of the prime factors together: 7 x 11 x 17 x 23 x 541 = 16,287,887

This can also be written as 71 x 111 x 171 x 231 x 5411 = 16,287,887

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


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