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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