Q: What are the prime factors of the number 563,534,409?

 A: 3, 29, 61, 106187

Why are those the prime factors of the number 563,534,409?

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 563,534,409

563,534,409
Factor Arrows
3187,844,803
Factor Arrows
296,477,407
Factor Arrows
61106,187

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, 29, 61, 106187

We can check our work by multiplying all of the prime factors together: 3 x 29 x 61 x 106,187 = 563,534,409

This can also be written as 31 x 291 x 611 x 106,1871 = 563,534,409

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


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