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Fundamentals of Number Theory

Number Theory

A collection of high school level questions covering basic properties of integers, primes, and divisibility.

mathematics integers primes divisibility
10 Questions Easy Ages 14+ Apr 22, 2026

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About this Study Set

This study set covers Number Theory through 10 practice questions. A collection of high school level questions covering basic properties of integers, primes, and divisibility. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

Questions & Answers

Browse all 10 questions from the Fundamentals of Number Theory study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 What is the smallest prime number?
  • A 0
  • B 1
  • C 2
  • D 3
2 Which of the following numbers is a perfect square?
  • A 12
  • B 24
  • C 36
  • D 48
3 What is the Greatest Common Divisor (GCD) of 12 and 18?
  • A 2
  • B 3
  • C 6
  • D 9
4 Which of these numbers is a composite number?
  • A 7
  • B 11
  • C 13
  • D 15
5 What is the result of 15 modulo 4?
  • A 1
  • B 2
  • C 3
  • D 4
6 Which of the following is an even prime number?
  • A 0
  • B 2
  • C 4
  • D 8
7 What is the prime factorization of 10?
  • A 2 x 5
  • B 1 x 10
  • C 2 + 8
  • D 2 x 2 x 2
8 Which number is neither prime nor composite?
  • A 0
  • B 1
  • C 2
  • D 3
9 What is the Least Common Multiple (LCM) of 4 and 6?
  • A 2
  • B 10
  • C 12
  • D 24
10 How many factors does the number 7 have?
  • A 1
  • B 2
  • C 3
  • D 4
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