RBSE Solutions Class 5 Maths Chapter 5 Multiples and Factors More Ques

Rajasthan Board RBSE Class 5 Maths Chapter 5 Multiples and Factors In Text Exercise

Question 1. Write down the multiplication table of given numbers-
(i) 5
(ii) 7
(iii) 13
(iv) 16
(v) 18
Answer: The multiplication tables for the given numbers are shown below. This helps us quickly find multiples of each number.

🎯 Exam Tip: Knowing your multiplication tables well helps you solve many math problems quickly and accurately.

Question 1. Write down the first five multiples of following numbers.
(i) 3
Answer: The first five multiples of 3 are: 3, 6, 9, 12, 15. Multiples are what you get when you multiply a number by whole numbers.
In simple words: To find the first five multiples of 3, we just multiply 3 by 1, 2, 3, 4, and 5. This gives us 3, 6, 9, 12, and 15.

🎯 Exam Tip: Multiples are formed by repeatedly adding the number to itself, or by multiplying it by counting numbers (1, 2, 3, ...).

Question 2. In this chart mark on every multiple of 3 and mark on every multiple of 4.
Answer: The chart below shows the numbers from 1 to 100. Multiples of 3 are marked with a square border, and multiples of 4 are marked with a circular border in the solution image. Numbers that are multiples of both 3 and 4 have both marks. We have applied a red border to indicate any marked number in the HTML table for clarity.

🎯 Exam Tip: To easily find multiples, remember divisibility rules (e.g., for 3, sum of digits is a multiple of 3; for 4, the last two digits form a multiple of 4).

Based On The Above Chart Answer The Following Questions

Question 1. What is the smallest multiple of 3.
Answer: The smallest multiple of 3 is 3 itself. Every number is its own smallest multiple.
In simple words: The smallest number that 3 can divide without a remainder is 3.

🎯 Exam Tip: The smallest multiple of any number is always the number itself.

Question 2. What is the smallest multiple of 4.
Answer: The smallest multiple of 4 is 4 itself. This is because when you multiply 4 by 1, you get 4.
In simple words: The smallest number that 4 can divide evenly into is 4.

🎯 Exam Tip: Always remember that a number is the smallest multiple of itself. This is a fundamental property of multiples.

Question 3. Write down the three common multiples of 3 and 4.
Answer: The three common multiples of 3 and 4 are 12, 24, and 36. These are numbers that can be divided by both 3 and 4.
In simple words: We look for numbers that are in both the multiplication table of 3 and the multiplication table of 4. The first three are 12, 24, and 36.

🎯 Exam Tip: To find common multiples, start by listing multiples of both numbers and look for the numbers that appear in both lists.

Question 4. What is the smallest common multiple of 3 and 4.
Answer: The smallest common multiple of 3 and 4 is 12. This is the first number (apart from zero) that both 3 and 4 can divide evenly into.
In simple words: The smallest number that can be divided by both 3 and 4 without leaving a remainder is 12.

🎯 Exam Tip: The smallest common multiple (LCM) is often found by listing multiples until a common one is found, or by using prime factorization.

Question 5. What is the highest common multiple of 3 and 4.
Answer: Based on the chart up to 100, the highest common multiple of 3 and 4 is 96. This is the largest number in the chart that is a multiple of both 3 and 4. Normally, common multiples go on forever, so this question refers to the specific chart.
In simple words: From the numbers 1 to 100 in the chart, the biggest number that both 3 and 4 can divide into is 96.

🎯 Exam Tip: Be careful with terms like "highest common multiple." If a range isn't specified, common multiples can go on infinitely. Here, the chart limits the scope.

Question 6. What is the first common multiple of 3 and 4, which is greater than 100.
Answer: The first common multiple of 3 and 4 that is greater than 100 is 108. The common multiples are multiples of 12 (the LCM of 3 and 4). Since \( 12 \times 8 = 96 \) and \( 12 \times 9 = 108 \), 108 is the next common multiple after 96.
In simple words: We know 12 is the smallest common multiple. We keep adding 12 until we get a number bigger than 100. That number is 108.

🎯 Exam Tip: Once you find the Least Common Multiple (LCM), all other common multiples will be multiples of that LCM.

Question 7. Write the smallest number of chart, which is multiple of at least two numbers. Write those numbers also.
Answer: The smallest number in the chart (1-100) that is a multiple of at least two other distinct numbers is 2. The numbers of which it is a multiple are 1 and 2. This means 2 can be divided by both 1 and 2 evenly.
In simple words: The smallest number in the list (from 1 to 100) that has at least two different numbers that can divide it is 2. Those two numbers are 1 and 2.

🎯 Exam Tip: Understand that every number is a multiple of 1 and itself. A number like 2 is a multiple of two numbers (1 and 2) from the start.

Question 8. Which number is the smallest multiple of 5 and 8.
Answer: The smallest multiple of both 5 and 8 is 40. This is the first number that appears in both the multiplication table of 5 and the multiplication table of 8. We find this by multiplying 5 and 8 since they share no common factors other than 1.
In simple words: The smallest number that both 5 and 8 can divide into without leaving a remainder is 40.

🎯 Exam Tip: To find the smallest common multiple (LCM) of two numbers that have no common factors other than 1 (like 5 and 8), simply multiply the numbers together.