Understanding "Integers, Factors & Multiples" is crucial for students preparing for school and competitive exams. Mastering these concepts not only enhances mathematical skills but also boosts confidence during exams. Practicing MCQs and objective questions helps students identify important questions, ensuring effective exam preparation and improved scores.
What You Will Practise Here
Definition and properties of integers
Understanding factors and multiples, including prime factors
Finding the least common multiple (LCM) and greatest common divisor (GCD)
Applications of integers in real-life scenarios
Solving problems involving addition, subtraction, multiplication, and division of integers
Identifying and solving word problems related to factors and multiples
Practice with various objective questions and MCQs for better retention
Exam Relevance
The topic of "Integers, Factors & Multiples" is frequently tested in CBSE, State Boards, and competitive exams like NEET and JEE. Students can expect questions that require them to apply concepts in problem-solving scenarios. Common question patterns include identifying factors of a number, calculating LCM and GCD, and solving word problems that involve integers.
Common Mistakes Students Make
Confusing between factors and multiples, leading to incorrect answers
Overlooking negative integers when solving problems
Miscalculating LCM and GCD due to lack of practice
Failing to read word problems carefully, resulting in misunderstanding the question
FAQs
Question: What are integers? Answer: Integers are whole numbers that can be positive, negative, or zero, without any fractional or decimal parts.
Question: How do I find the LCM of two numbers? Answer: The LCM can be found by listing the multiples of each number and identifying the smallest common multiple, or by using the formula LCM(a, b) = (a * b) / GCD(a, b).
Start solving practice MCQs on "Integers, Factors & Multiples" today to enhance your understanding and ace your exams!
Q. How many factors does the number 28 have?
A.
4
B.
6
C.
8
D.
10
Solution
The factors of 28 are 1, 2, 4, 7, 14, and 28, totaling 6 factors.