# 317 and Candies from Mikulás

• 317 is a prime number.
• Prime factorization: 317 is prime.
• The exponent of prime number 317 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 317 has exactly 2 factors.
• Factors of 317: 1, 317
• Factor pairs: 317 = 1 x 317
• 317 has no square factors that allow its square root to be simplified. √317 ≈ 17.804

How do we know that 317 is a prime number? If 317 were not a prime number, then it would be divisible by at least one prime number less than or equal to √317 ≈ 17.804. Since 317 cannot be divided evenly by 2, 3, 5, 7, 11, 13, or 17, we know that 317 is a prime number.

Today is Mikulás or St. Nickolas’s name day in Hungary. Children woke up to find various candies such as the candy cane below in their shined shoes this morning.

Print the puzzles or type the factors on this excel file: 12 Factors 2014-12-01

My grandson left this note for Mikulás last night.

Köszönöm Mikulás” means “Thank you, St. Nickolas.” My grandson was thrilled with the candies and amused by the virgács that he found in his shoes this Mikulás morning.