Q: What are the prime factors of the number 561,170,277?

 A: 3, 31, 2011363

Why are those the prime factors of the number 561,170,277?

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 561,170,277

561,170,277
Factor Arrows
3187,056,759
Factor Arrows
362,352,253
Factor Arrows
312,011,363

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, 31, 2011363

We can check our work by multiplying all of the prime factors together: 3 x 3 x 31 x 2,011,363 = 561,170,277

This can also be written as 32 x 311 x 2,011,3631 = 561,170,277

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


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