Q: What are the prime factors of the number 16,004,336?

 A: 2, 89, 11239

Why are those the prime factors of the number 16,004,336?

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 16,004,336

16,004,336
Factor Arrows
28,002,168
Factor Arrows
24,001,084
Factor Arrows
22,000,542
Factor Arrows
21,000,271
Factor Arrows
8911,239

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, 89, 11239

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 89 x 11,239 = 16,004,336

This can also be written as 24 x 891 x 11,2391 = 16,004,336

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


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