Hi, My name is Simon and I am a student attending middle school. I need to ask you a question if 5^{ 2002} and 3^{ 2002} are divisible by 26. Hi Simon, This is really a question about prime numbers, the building blocks for the integers. The integer 5 is a prime and the only prime in the construction of 5^{ 2002} is 5, so any number that divides 5^{ 2002} must be constructed from 5's alone. The integer 26 is 2 x 13 and 2 and 13 are primes. Thus 26 can not divide 5^{ 2002}. Penny
