Q: What are the prime factors of the number 241,012,304?

 A: 2, 13, 1158713

Why are those the prime factors of the number 241,012,304?

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 241,012,304

241,012,304
Factor Arrows
2120,506,152
Factor Arrows
260,253,076
Factor Arrows
230,126,538
Factor Arrows
215,063,269
Factor Arrows
131,158,713

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, 13, 1158713

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 1,158,713 = 241,012,304

This can also be written as 24 x 131 x 1,158,7131 = 241,012,304

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


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