Q: What are the prime factors of the number 16,104,872?

 A: 2, 7, 31, 9277

Why are those the prime factors of the number 16,104,872?

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 16,104,872

16,104,872
Factor Arrows
28,052,436
Factor Arrows
24,026,218
Factor Arrows
22,013,109
Factor Arrows
7287,587
Factor Arrows
319,277

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, 7, 31, 9277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 31 x 9,277 = 16,104,872

This can also be written as 23 x 71 x 311 x 9,2771 = 16,104,872

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


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