Q: What are the prime factors of the number 818,360?

 A: 2, 5, 41, 499

Why are those the prime factors of the number 818,360?

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 818,360

818,360
Factor Arrows
2409,180
Factor Arrows
2204,590
Factor Arrows
2102,295
Factor Arrows
520,459
Factor Arrows
41499

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, 5, 41, 499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 41 x 499 = 818,360

This can also be written as 23 x 51 x 411 x 4991 = 818,360

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


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