Q: What are the prime factors of the number 18,103,776?

 A: 2, 3, 17, 11093

Why are those the prime factors of the number 18,103,776?

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 18,103,776

18,103,776
Factor Arrows
29,051,888
Factor Arrows
24,525,944
Factor Arrows
22,262,972
Factor Arrows
21,131,486
Factor Arrows
2565,743
Factor Arrows
3188,581
Factor Arrows
1711,093

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, 11093

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 17 x 11,093 = 18,103,776

This can also be written as 25 x 31 x 171 x 11,0931 = 18,103,776

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


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