Q: What are the prime factors of the number 16,173,344?

 A: 2, 11, 4177

Why are those the prime factors of the number 16,173,344?

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 16,173,344

16,173,344
Factor Arrows
28,086,672
Factor Arrows
24,043,336
Factor Arrows
22,021,668
Factor Arrows
21,010,834
Factor Arrows
2505,417
Factor Arrows
1145,947
Factor Arrows
114,177

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, 11, 4177

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 11 x 4,177 = 16,173,344

This can also be written as 25 x 112 x 4,1771 = 16,173,344

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


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