Q: What are the prime factors of the number 16,132,816?

 A: 2, 7, 29, 4967

Why are those the prime factors of the number 16,132,816?

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 16,132,816

16,132,816
Factor Arrows
28,066,408
Factor Arrows
24,033,204
Factor Arrows
22,016,602
Factor Arrows
21,008,301
Factor Arrows
7144,043
Factor Arrows
294,967

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, 29, 4967

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 29 x 4,967 = 16,132,816

This can also be written as 24 x 71 x 291 x 4,9671 = 16,132,816

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


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