Q: What are the prime factors of the number 992,547?

 A: 3, 36761

Why are those the prime factors of the number 992,547?

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 992,547

992,547
Factor Arrows
3330,849
Factor Arrows
3110,283
Factor Arrows
336,761

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, 36761

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 36,761 = 992,547

This can also be written as 33 x 36,7611 = 992,547

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


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