Q: What are the prime factors of the number 29,984?

 A: 2, 937

Why are those the prime factors of the number 29,984?

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 29,984

29,984
Factor Arrows
214,992
Factor Arrows
27,496
Factor Arrows
23,748
Factor Arrows
21,874
Factor Arrows
2937

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, 937

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 937 = 29,984

This can also be written as 25 x 9371 = 29,984

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


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