Q: What are the prime factors of the number 993,372?

 A: 2, 3, 82781

Why are those the prime factors of the number 993,372?

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 993,372

993,372
Factor Arrows
2496,686
Factor Arrows
2248,343
Factor Arrows
382,781

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, 82781

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 82,781 = 993,372

This can also be written as 22 x 31 x 82,7811 = 993,372

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


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