Samacheer Kalvi Class 5 Maths Solutions Term 2 Chapter 2 Numbers More Ques

Question 1. Find the common factors for:
(i) 6 and 9
(ii) 15 and 20
Answer:
(i) For 6 and 9:
Factors of 6 are the numbers that divide 6 evenly: 1, 2, 3, 6.
Factors of 9 are the numbers that divide 9 evenly: 1, 3, 9.
The common factors that appear in both lists are 1 and 3. Understanding common factors helps in simplifying fractions.
(ii) For 15 and 20:
Factors of 15 are: 1, 3, 5, 15.
Factors of 20 are: 1, 2, 4, 5, 10, 20.
The common factors found in both lists are 1 and 5.
In simple words: Common factors are numbers that can divide two or more other numbers without leaving a remainder. We list all factors for each number and then find the ones that are the same for both.

🎯 Exam Tip: To find common factors, list all factors for each number separately. Then, identify the numbers that appear in every list. These are the common factors.

Question 2. Draw a picture of factor tree.
(i) 45
(ii) 100
Answer:
(i) Factor tree for 45:

(ii) Factor tree for 100:

In simple words: A factor tree shows how a number can be broken down into its prime factors. You keep splitting a number into two smaller factors until all the numbers at the bottom are prime numbers (numbers that can only be divided by 1 and themselves).

🎯 Exam Tip: Always make sure that all the numbers at the end of your factor tree branches are prime numbers. This shows you have fully broken down the original number.

Question 3. Write down the first 5 multiple of the given numbers.
(i) 15
(ii) 25
Answer:
(i) For the number 15, the first 5 multiples are found by multiplying 15 by 1, 2, 3, 4, and 5:
\( 15 \times 1 = 15 \)
\( 15 \times 2 = 30 \)
\( 15 \times 3 = 45 \)
\( 15 \times 4 = 60 \)
\( 15 \times 5 = 75 \)
So, the first 5 multiples of 15 are 15, 30, 45, 60, and 75. Multiples are like the answers you get when you multiply a number by others.
(ii) For the number 25, the first 5 multiples are found by multiplying 25 by 1, 2, 3, 4, and 5:
\( 25 \times 1 = 25 \)
\( 25 \times 2 = 50 \)
\( 25 \times 3 = 75 \)
\( 25 \times 4 = 100 \)
\( 25 \times 5 = 125 \)
So, the first 5 multiples of 25 are 25, 50, 75, 100, and 125.
In simple words: Multiples of a number are what you get when you multiply that number by other whole numbers (like 1, 2, 3, and so on). You just keep skip-counting by that number.

🎯 Exam Tip: Remember that the first multiple of any number is the number itself (when multiplied by 1). Also, be careful to list the multiples in order.