Q: What are the prime factors of the number 1,816,224?

 A: 2, 3, 18919

Why are those the prime factors of the number 1,816,224?

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 1,816,224

1,816,224
Factor Arrows
2908,112
Factor Arrows
2454,056
Factor Arrows
2227,028
Factor Arrows
2113,514
Factor Arrows
256,757
Factor Arrows
318,919

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, 18919

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 18,919 = 1,816,224

This can also be written as 25 x 31 x 18,9191 = 1,816,224

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


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