Q: What are the prime factors of the number 562,641,046?

 A: 2, 11, 337, 6899

Why are those the prime factors of the number 562,641,046?

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 562,641,046

562,641,046
Factor Arrows
2281,320,523
Factor Arrows
1125,574,593
Factor Arrows
112,324,963
Factor Arrows
3376,899

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, 11, 337, 6899

We can check our work by multiplying all of the prime factors together: 2 x 11 x 11 x 337 x 6,899 = 562,641,046

This can also be written as 21 x 112 x 3371 x 6,8991 = 562,641,046

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


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