Q: What are the prime factors of the number 16,331,680?

 A: 2, 5, 103, 991

Why are those the prime factors of the number 16,331,680?

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 16,331,680

16,331,680
Factor Arrows
28,165,840
Factor Arrows
24,082,920
Factor Arrows
22,041,460
Factor Arrows
21,020,730
Factor Arrows
2510,365
Factor Arrows
5102,073
Factor Arrows
103991

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, 5, 103, 991

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 103 x 991 = 16,331,680

This can also be written as 25 x 51 x 1031 x 9911 = 16,331,680

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


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