Q: What are the prime factors of the number 241,012,323?

 A: 3, 577, 46411

Why are those the prime factors of the number 241,012,323?

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 241,012,323

241,012,323
Factor Arrows
380,337,441
Factor Arrows
326,779,147
Factor Arrows
57746,411

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, 577, 46411

We can check our work by multiplying all of the prime factors together: 3 x 3 x 577 x 46,411 = 241,012,323

This can also be written as 32 x 5771 x 46,4111 = 241,012,323

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


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