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Understanding Number Theory: A Quiz

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1. What is the smallest prime number?

2. If two numbers are both divisible by 5, which of the following must also be divisible by 5?

3. What is the greatest common divisor (GCD) of 14 and 49?

4. In modulo arithmetic, what is the result of $7 \mod 5$?

5. Which of the following numbers is a perfect square?

6. What is Euler's theorem concerning?

7. Which number is considered the 'building block' of number theory because it is the basis of constructing all other prime numbers?

8. If $a$ and $b$ are integers and $a \mod b = 0$, what does it mean?

9. What is the sum of the divisors of 6 (including 1 and 6)?

10. Which of the following is a characteristic of congruent numbers in modulo arithmetic?