Q: What are the prime factors of the number 18,936,896?

 A: 2, 11, 37, 727

Why are those the prime factors of the number 18,936,896?

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 18,936,896

18,936,896
Factor Arrows
29,468,448
Factor Arrows
24,734,224
Factor Arrows
22,367,112
Factor Arrows
21,183,556
Factor Arrows
2591,778
Factor Arrows
2295,889
Factor Arrows
1126,899
Factor Arrows
37727

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, 37, 727

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 11 x 37 x 727 = 18,936,896

This can also be written as 26 x 111 x 371 x 7271 = 18,936,896

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


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