Q: What are the prime factors of the number 29,632?

 A: 2, 463

Why are those the prime factors of the number 29,632?

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 29,632

29,632
Factor Arrows
214,816
Factor Arrows
27,408
Factor Arrows
23,704
Factor Arrows
21,852
Factor Arrows
2926
Factor Arrows
2463

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, 463

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 463 = 29,632

This can also be written as 26 x 4631 = 29,632

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


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