Q: What are the prime factors of the number 792,486?

 A: 2, 3, 44027

Why are those the prime factors of the number 792,486?

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 792,486

792,486
Factor Arrows
2396,243
Factor Arrows
3132,081
Factor Arrows
344,027

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, 44027

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 44,027 = 792,486

This can also be written as 21 x 32 x 44,0271 = 792,486

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


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