Exercises
Factors and Multiples
Problems
Q1) List all factors of 100.
Q2) Which is not a factor of 45?
- 1
- 8
- 9
- 3
Q3) List all factors of 32.
Q4) What are the factors of 2?
Q5) Is 100 a multiple or a factor of 50?
Q6) Which statement(s) best describe(s) the relationship between 3 and 45?
- 3 is a factor of 45.
- 45 is a factor of 3.
- 3 is a multiple of 45.
- 45 is a multiple of 3.
Q7) Is 4 a factor of 9?
Q8) Suppose you have two numbers a and b. How do you know that b is a factor of a?
- The remainder of a ÷ b is 1.
- The product of a and b is 0.
- The product of a and b is 1.
- The remainder of a ÷ b is 0.
Q9) If b is a factor of a, which of these must be true?
- b must be a multiple of a.
- a must equal b.
- b must be a factor of ab.
- a must be a multiple of b.
Q10) Which of these numbers is a multiple of 3?
- 13
- 131
- 3
- 91
Q11) Which of these numbers is a multiple of both 3 and 6?
- 3
- 9
- 6
- 21
Q12) Which of these statements is always true for any two numbers a and b?
- a is a multiple of b if b is a factor of a.
- If bn = a, for any whole number n, then b is a multiple of a.
- If b is a multiple of a, then b is also a multiple of a + b.
- None of the above statements are true.
Answers
Answer Key
Q1) 1, 2, 4, 5, 10, 20, 25, 50, 100
Q2) 8
Q3) 1, 2, 4, 8, 16, 32
Q4) 1, 2
Q5) multiple
Q6) 3 is a factor of 45; 45 is a multiple of 3
Q7) no
Q8) the remainder of a ÷ b is 0
Q9) b must be a factor of ab; a must be a multiple of b
Q10) 3
Q11) 6
Q12) a is a multiple of b if b is a factor of a; if b is a multiple of a, then b is also a multiple of a + b
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