Samacheer Kalvi Class 5 Maths Solutions Term 2 Chapter 2 Numbers Exercise 2.1

Tamilnadu Samacheer Kalvi 5th Maths Solutions Term 2 Chapter 2 Numbers Ex 2.1

Question 1. Find the common factors for:
(i) 8 and 12
(ii) 24 and 30
(iii) 20 and 30
Answer:
(i) To find the common factors for 8 and 12, first we list all the factors for each number.
The factors of 8 are: 1, 2, 4, 8.
The factors of 12 are: 1, 2, 3, 4, 6, 12.
The common factors that appear in both lists are: 1, 2, 4. Finding common factors is a basic step in understanding number properties.
(ii) To find the common factors for 24 and 30, we list the factors for each.
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30.
The common factors that appear in both lists are: 1, 2, 3, 6.
(iii) To find the common factors for 20 and 30, we list the factors for each.
The factors of 20 are: 1, 2, 4, 5, 10, 20.
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30.
The common factors that appear in both lists are: 1, 2, 5, 10.
In simple words: To find common factors, list all the numbers that divide evenly into each given number. Then, pick out the numbers that are present in both lists. These are the common factors.

🎯 Exam Tip: Always list all factors for each number carefully before identifying the common ones to avoid missing any. You can use divisibility rules to quickly find all factors.