Q: What are the prime factors of the number 241,824?

 A: 2, 3, 11, 229

Why are those the prime factors of the number 241,824?

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 241,824

241,824
Factor Arrows
2120,912
Factor Arrows
260,456
Factor Arrows
230,228
Factor Arrows
215,114
Factor Arrows
27,557
Factor Arrows
32,519
Factor Arrows
11229

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, 11, 229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 11 x 229 = 241,824

This can also be written as 25 x 31 x 111 x 2291 = 241,824

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


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