Q: What are the prime factors of the number 16,067,328?

 A: 2, 3, 20921

Why are those the prime factors of the number 16,067,328?

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 16,067,328

16,067,328
Factor Arrows
28,033,664
Factor Arrows
24,016,832
Factor Arrows
22,008,416
Factor Arrows
21,004,208
Factor Arrows
2502,104
Factor Arrows
2251,052
Factor Arrows
2125,526
Factor Arrows
262,763
Factor Arrows
320,921

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, 3, 20921

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 20,921 = 16,067,328

This can also be written as 28 x 31 x 20,9211 = 16,067,328

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


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