Q: What are the prime factors of the number 480,249?

 A: 3, 7, 11

Why are those the prime factors of the number 480,249?

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 480,249

480,249
Factor Arrows
3160,083
Factor Arrows
353,361
Factor Arrows
317,787
Factor Arrows
35,929
Factor Arrows
7847
Factor Arrows
7121
Factor Arrows
1111

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, 7, 11

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 7 x 7 x 11 x 11 = 480,249

This can also be written as 34 x 72 x 112 = 480,249

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


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