1. Which of the following is a factor of 12?
- A5
- B4
- C7
- D8
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Answer: B) 4
12 = 4 x 3, so 4 divides 12 exactly. 5, 7 and 8 do not divide 12 without a remainder.
Class 6 Factors and Multiples — practice questions with answers
Playing with Numbers · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. How many multiples of 9 are there between 1 and 100?
- A10
- B11
- C12
- D22
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Answer: B) 11
Multiples of 9 up to 100 are 9, 18, ... , 99. Since 99 = 9 x 11, there are 11 such multiples.
3. Which of these is the common multiple of 2, 3 and 4?
- A6
- B8
- C12
- D9
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Answer: C) 12
12 = 2 x 6 = 3 x 4 = 4 x 3, so 12 is divisible by 2, 3 and 4. It is their least common multiple.
4. Three friends jog around a park. One completes a round in 4 minutes, another in 6 minutes, and the third in 8 minutes.
They start together.
After how many minutes will all three be at the starting point together again?
They start together.
After how many minutes will all three be at the starting point together again?
- A48
- B22
- C24
- D26
Show answer
Answer: C) 24
We need LCM(4,6,8). 4 = 2x2, 6 = 2x3, 8 = 2x2x2. LCM = 2x2x2x3 = 24. So after 24 minutes.
5. Let N be the smallest number that is a common multiple of 3, 4 and 5.
How many factors does N have?
How many factors does N have?
- A12
- B11
- C24
- D13
Show answer
Answer: A) 12
LCM(3,4,5) = 60 = 2x2x3x5. The number of factors = (2+1)(1+1)(1+1) = 3 x 2 x 2 = 12. So 60 has 12 factors.
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