101 is a prime number. 101 = 1 x 101. Its only factors are 1 and 101. Prime factorization: none.
How do we know that 101 is a prime number? The square root of 101 is an irrational number approximately equal to 10.05. If 101 were not a prime number, then it would be divisible by at least one prime number less than or equal to 10.05. Since 101 is not divisible by 2, 3, 5, or 7, it is a prime number.
101 is never a clue in the FIND THE FACTORS puzzles.
This week’s puzzles and last week’s solutions: 12 Factors 2014-04-21