Q: What are the prime factors of the number 241,041,344?

 A: 2, 67, 839

Why are those the prime factors of the number 241,041,344?

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 241,041,344

241,041,344
Factor Arrows
2120,520,672
Factor Arrows
260,260,336
Factor Arrows
230,130,168
Factor Arrows
215,065,084
Factor Arrows
27,532,542
Factor Arrows
23,766,271
Factor Arrows
6756,213
Factor Arrows
67839

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, 67, 839

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 67 x 67 x 839 = 241,041,344

This can also be written as 26 x 672 x 8391 = 241,041,344

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


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