Q: What are the prime factors of the number 16,669,520?

 A: 2, 5, 7, 17, 103

Why are those the prime factors of the number 16,669,520?

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 16,669,520

16,669,520
Factor Arrows
28,334,760
Factor Arrows
24,167,380
Factor Arrows
22,083,690
Factor Arrows
21,041,845
Factor Arrows
5208,369
Factor Arrows
729,767
Factor Arrows
171,751
Factor Arrows
17103

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, 7, 17, 103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 7 x 17 x 17 x 103 = 16,669,520

This can also be written as 24 x 51 x 71 x 172 x 1031 = 16,669,520

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


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