Q: What are the prime factors of the number 241,600,671?

 A: 3, 13, 23, 29927

Why are those the prime factors of the number 241,600,671?

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 241,600,671

241,600,671
Factor Arrows
380,533,557
Factor Arrows
326,844,519
Factor Arrows
38,948,173
Factor Arrows
13688,321
Factor Arrows
2329,927

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:

3, 13, 23, 29927

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13 x 23 x 29,927 = 241,600,671

This can also be written as 33 x 131 x 231 x 29,9271 = 241,600,671

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


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