Suppose that x and y are positive integers, where x > y. Let n = x/y, and suppose that n is not an integer.

The value n can be expressed as an integer part and a fractional part, where the fractional part is between 0 and 1. Using this representation, the fractional part would be equal to:

Suppose   n\mod d = 3. Which of the following is not necessarily true?

What is -10 mod 3 equal to?

Suppose n is a composite number. What is the minimum number of factors that n can have?

Suppose n is a positive integer that cannot be expressed as a product of one or more primes. Which of the following is true of n?

What can you say about the largest prime number?

Which of the following implications is not necessarily true?

If x \mid 24 and x \mid 36, which of the following statements is also necessarily true?

Which of the following is not a valid description of the expression 3\mathbb{Z}?