Q: What are the prime factors of the number 16,620,080?

 A: 2, 5, 103, 2017

Why are those the prime factors of the number 16,620,080?

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 16,620,080

16,620,080
Factor Arrows
28,310,040
Factor Arrows
24,155,020
Factor Arrows
22,077,510
Factor Arrows
21,038,755
Factor Arrows
5207,751
Factor Arrows
1032,017

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, 2017

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 103 x 2,017 = 16,620,080

This can also be written as 24 x 51 x 1031 x 2,0171 = 16,620,080

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


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