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.

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.