Q: What are the prime factors of the number 984?

 A: 2, 3, 41

Why are those the prime factors of the number 984?

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 984

984
Factor Arrows
2492
Factor Arrows
2246
Factor Arrows
2123
Factor Arrows
341

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, 41

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 41 = 984

This can also be written as 23 x 31 x 411 = 984

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


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