Q: What are the prime factors of the number 16,889,280?

 A: 2, 3, 5, 73, 241

Why are those the prime factors of the number 16,889,280?

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 16,889,280

16,889,280
Factor Arrows
28,444,640
Factor Arrows
24,222,320
Factor Arrows
22,111,160
Factor Arrows
21,055,580
Factor Arrows
2527,790
Factor Arrows
2263,895
Factor Arrows
387,965
Factor Arrows
517,593
Factor Arrows
73241

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, 5, 73, 241

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 3 x 5 x 73 x 241 = 16,889,280

This can also be written as 26 x 31 x 51 x 731 x 2411 = 16,889,280

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


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