FAQs on Math Steps 5 Factors and Multiples
| 1. What's the difference between factors and multiples in Class 5 maths? | ![]() |
Ans. Factors are numbers that divide evenly into another number with no remainder, while multiples are numbers you get by multiplying a number by whole numbers. For example, factors of 12 are 1, 2, 3, 4, 6, and 12, whereas multiples of 3 are 3, 6, 9, 12, 15, and so on. Understanding this distinction is foundational for CBSE Class 5 mathematics.
| 2. How do I find all the factors of a number quickly? | ![]() |
Ans. List pairs of numbers that multiply to equal your target number. For 20, the factor pairs are (1, 20), (2, 10), and (4, 5), giving factors 1, 2, 4, 5, 10, 20. Start with 1 and the number itself, then test small numbers systematically. Visual flashcards and mind maps on EduRev help consolidate factor identification skills for faster recognition during exams.
| 3. Why are some numbers both factors and multiples of other numbers? | ![]() |
Ans. A number can be a multiple of one number and a factor of another simultaneously. For instance, 6 is a multiple of 2 (since 2 × 3 = 6) but also a factor of 12 (since 12 ÷ 6 = 2). This overlap occurs because divisibility relationships work bidirectionally-if A divides B evenly, then B is always a multiple of A, creating this dual classification.
| 4. What's the easiest way to list multiples of a number without making mistakes? | ![]() |
Ans. Multiply the number by 1, 2, 3, 4, 5, and so on in sequence. Multiples of 7 are 7 (7×1), 14 (7×2), 21 (7×3), 28 (7×4), continuing infinitely. Write them in order to spot patterns easily. Tables and sequential lists help avoid skipping numbers-refer to structured worksheets and MCQ tests on EduRev for practice.
| 5. How do factors and multiples help solve real word problems in exams? | ![]() |
Ans. Factors determine equal grouping or division problems ("Share 24 candies equally"), while multiples solve repetition scenarios ("How many days until two events align?"). Recognising which concept applies lets students choose the right strategy quickly. CBSE exams often test this applied understanding, making conceptual clarity essential for scoring well on multi-step problems.