Q: What are the prime factors of the number 561,611,554?

 A: 2, 7, 47, 67, 12739

Why are those the prime factors of the number 561,611,554?

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 561,611,554

561,611,554
Factor Arrows
2280,805,777
Factor Arrows
740,115,111
Factor Arrows
47853,513
Factor Arrows
6712,739

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, 7, 47, 67, 12739

We can check our work by multiplying all of the prime factors together: 2 x 7 x 47 x 67 x 12,739 = 561,611,554

This can also be written as 21 x 71 x 471 x 671 x 12,7391 = 561,611,554

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


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