Q: What are the prime factors of the number 16,480?

 A: 2, 5, 103

Why are those the prime factors of the number 16,480?

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 16,480

16,480
Factor Arrows
28,240
Factor Arrows
24,120
Factor Arrows
22,060
Factor Arrows
21,030
Factor Arrows
2515
Factor Arrows
5103

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

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 = 16,480

This can also be written as 25 x 51 x 1031 = 16,480

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


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