Number Theory
Divisibility, primes, modular arithmetic, Diophantine equations and arithmetic functions.
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Take a full mock →Q1 · Number Theory · EASY
Find the sum of all positive divisors of 84.
Q2 · Number Theory · MEDIUM
What is the remainder when 7¹⁰⁰ is divided by 48?
Q3 · Number Theory · MEDIUM
How many positive integers less than or equal to 120 are divisible by exactly one of 4 or 6 (but not both)?
Q4 · Number Theory · EASY
What is the smallest positive integer n such that 2025n is a perfect square?
Q5 · Divisibility · EASY
Find the number of positive integers n less than 100 such that n divides 2n² + 7n + 3.