Q: What are the prime factors of the number 16,088,752?

 A: 2, 31, 163, 199

Why are those the prime factors of the number 16,088,752?

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 16,088,752

16,088,752
Factor Arrows
28,044,376
Factor Arrows
24,022,188
Factor Arrows
22,011,094
Factor Arrows
21,005,547
Factor Arrows
3132,437
Factor Arrows
163199

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, 31, 163, 199

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 31 x 163 x 199 = 16,088,752

This can also be written as 24 x 311 x 1631 x 1991 = 16,088,752

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


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