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# Understanding Number Theory: A Quiz

### 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?