563 is prime, and it is the sum of all the prime numbers from 5 to 67.

Print the puzzles or type the solution on this excel file: 10 Factors 2015-07-20

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- 563 is a prime number.
- Prime factorization: 563 is prime.
- The exponent of prime number 563 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 563 has exactly 2 factors.
- Factors of 563: 1, 563
- Factor pairs: 563 = 1 x 563
- 563 has no square factors that allow its square root to be simplified. √563 ≈ 23.727621

**How do we know that ****563**** is a prime number?** If 563 were not a prime number, then it would be divisible by at least one prime number less than or equal to √563 ≈ 23.7. Since 563 cannot be divided evenly by 2, 3, 5, 7, 11, 13, 17, 19, or 23, we know that 563 is a prime number.

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