3^90+2^90 is divisible by

Question

3^90+2^90 is divisible by which number

Answer 1

For the number to be divisible each of the terms must have a common factor - think the inverse of the distributive property. 3⁹⁰ has only 3 as a factor and 2⁹⁰ has only 2 as a factor. They have no common factors therefore they have no common divisor. 

 

The number is not divisible.