Q: What are the prime factors of the number 243,040,557?

 A: 3, 67, 449, 2693

Why are those the prime factors of the number 243,040,557?

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 243,040,557

243,040,557
Factor Arrows
381,013,519
Factor Arrows
671,209,157
Factor Arrows
4492,693

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, 67, 449, 2693

We can check our work by multiplying all of the prime factors together: 3 x 67 x 449 x 2,693 = 243,040,557

This can also be written as 31 x 671 x 4491 x 2,6931 = 243,040,557

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


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