Q: What are the prime factors of the number 16,778,592?

 A: 2, 3, 17, 23, 149

Why are those the prime factors of the number 16,778,592?

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 16,778,592

16,778,592
Factor Arrows
28,389,296
Factor Arrows
24,194,648
Factor Arrows
22,097,324
Factor Arrows
21,048,662
Factor Arrows
2524,331
Factor Arrows
3174,777
Factor Arrows
358,259
Factor Arrows
173,427
Factor Arrows
23149

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, 17, 23, 149

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 23 x 149 = 16,778,592

This can also be written as 25 x 32 x 171 x 231 x 1491 = 16,778,592

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


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