Q: What are the prime factors of the number 41,328?

 A: 2, 3, 7, 41

Why are those the prime factors of the number 41,328?

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 41,328

41,328
Factor Arrows
220,664
Factor Arrows
210,332
Factor Arrows
25,166
Factor Arrows
22,583
Factor Arrows
3861
Factor Arrows
3287
Factor Arrows
741

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, 7, 41

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 7 x 41 = 41,328

This can also be written as 24 x 32 x 71 x 411 = 41,328

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


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