AMC / AIME · Modular Arithmetic · Easy

Modular Arithmetic: What is the remainder when math is divided by math?

Congruences and power cycles.

Try the problem

What is the remainder when 100100 is divided by 99?

Hint and answer

Concept to use

$a\equiv b\pmod m$.

Hint

Digit sum test / divide.

Answer

1

More Modular Arithmetic problems

Practice more with the free Modular Arithmetic worksheet generator, or browse the full problem library.