467 is part of the 22nd prime triplet, (461-463-**467**). The next prime triplet will not occur until (613, 617, 619).

Print the puzzles or type the solution on this excel file: 12 Factors 2015-04-20

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- 467 is a prime number.
- Prime factorization: 467 is prime.
- The exponent of prime number 467 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 467 has exactly 2 factors.
- Factors of 467: 1, 467
- Factor pairs: 467 = 1 x 467
- 467 has no square factors that allow its square root to be simplified. √467 ≈ 21.61018

**How do we know that ****467**** is a prime number?** If 467 were not a prime number, then it would be divisible by at least one prime number less than or equal to √467 ≈ 21.6102. Since 467 cannot be divided evenly by 2, 3, 5, 7, 11, 13, 17, or 19, we know that 467 is a prime number.

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