Q: What are the prime factors of the number 18,480,879?

 A: 3, 101, 251

Why are those the prime factors of the number 18,480,879?

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 18,480,879

18,480,879
Factor Arrows
36,160,293
Factor Arrows
32,053,431
Factor Arrows
3684,477
Factor Arrows
3228,159
Factor Arrows
376,053
Factor Arrows
325,351
Factor Arrows
101251

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:

3, 101, 251

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 101 x 251 = 18,480,879

This can also be written as 36 x 1011 x 2511 = 18,480,879

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


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