Q: What are the prime factors of the number 720,486?

 A: 2, 3, 13, 3079

Why are those the prime factors of the number 720,486?

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 720,486

720,486
Factor Arrows
2360,243
Factor Arrows
3120,081
Factor Arrows
340,027
Factor Arrows
133,079

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, 13, 3079

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13 x 3,079 = 720,486

This can also be written as 21 x 32 x 131 x 3,0791 = 720,486

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


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