Multiples Questions

Multiples questions are provided here with their solutions to help students practice and understand the concept of factors and multiples. Practising these questions will be beneficial for students in lower grades. We recommend students to practice these questions within a time limit this will increase their solving speed.

Also, Check Factors and Multiples Worksheets.

Multiples of any number are the product of the given number with natural numbers. For example, the multiples of 3 are 3, 6, 9, 12, 15, … In other words, we can say multiples of a number are those numbers which come in times table of that number.

Multiples Questions with Solution

Let us solve some questions based on multiples of a number.

Question 1: List the first 10 multiples of the following numbers:

(i) 12

(ii) 52

(ii) 9

Solution:

(i) The first 10 multiples of 12 are

(ii) The first 10 multiples of 52 are

(iii) The first 10 multiples of 9 are

Question 2: Find the first three common multiples of 2 and 14.

Solution:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, …

Multiples of 14: 14, 28, 42, 56, 70, 84, 98, …

Therefore, the first three common multiples of 2 and 14 are 14, 28 and 42.

Also Read:

• HCF of Numbers
• Prime Factorization and Division Method for LCM and HCF
• Prime Factorization

Question 3: Find the smallest number whose factors are 2, 3 and 7.

Solution:

The smallest number whose factors are 2,3 and 7 is the LCM(2, 3, 7)

Now, LCM (2, 3, 7) = 2 × 3 × 7 = 42

∴ 42 is the smallest number whose factors are 2, 3 and 7.

Question 4: There are 62 students in a classroom. If 310 notebooks are to be distributed among them, find how many notebooks each student gets.

Solution:

Total number of students = 62

Total number of notebooks = 310

We observe that 310 is the 5th multiple of 62, that is, 62 × 5 = 310.

∴ each student gets 5 notebooks.

Question 5: How many complete weeks are there in a leap year?

Solution:

Number of days in a week = 7

Number of days in a leap year = 366

Now, 7 × 52 = 364 and 7 × 53 = 371 such that 364 < 366 < 371

Therefore, there are 52 complete weeks are there in a leap year.

Question 6: Is 111 divisible by 3?

Solution:

Now 3 × 37 = 111, that is 111 is a multiple of 3.

∴ 111 is divisible by 3.

Question 7: If there are 20 mangoes in a basket. How many mangoes will be there in 30 such baskets?

Solution:

Number of mangoes in one basket = 20

Number of baskets = 30

Total number of mangoes in 30 baskets = 20 × 30 = 600.

Therefore, there are 600 mangoes in 30 baskets.

Question 8: Which of the following is not a multiple of 23?

(a) 138

(b) 184

(c) 254

(d) 253

Solution:

Now, 23 × 6 = 138, 23 × 8 = 184 and 23 × 11 = 253, so clearly 254 is not a multiple of 23.

(c) is the answer.

Question 9: 72 books are kept on a bookshelf with 8 shelves. If each shelf has the same number of books. Find the number of books on each shelf.

Solution:

Total number of books = 72

Number of shelves = 8

Now, 8 × 9 = 72

Therefore, there are 9 books on each shelf.

Question 10: Arifa daily practices 5 maths sums. How many sums did she solve in the month of July?

Solution:

Number of questions she daily solves = 5

Number of days in July = 31

Total number of questions = 31 × 5 = 155

Therefore, she solved 155 questions in the month of July.

Video Lesson on Common Multiples and Its Applications

Practice Questions on Multiples

1. Find the first five multiples of 13.

2. Find the first three common multiples of 6 and 18.

3. Find the lowest common multiple of 2, 14, and 16.

4. Niya ate 4 chocolates every day for a week. How many total chocolates did she eat?

5. List all the numbers whose multiple is 286.

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