Class 4 Exam > Class 4 Notes > Mathematics for Class 4 > Poster: Factors and Multiples
Class 4 Maths Poster Chapter 9 Factors and Multiples
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FAQs on Class 4 Maths Poster Chapter 9 Factors and Multiples
| 1. What are factors and how do they differ from multiples? |  |
Ans.Factors are numbers that can be multiplied together to obtain a given number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12 because these numbers can be multiplied in pairs to produce 12. Multiples, on the other hand, are the results of multiplying a number by integers. For example, the multiples of 3 are 3, 6, 9, 12, 15, and so on. In summary, factors are the numbers that divide evenly into a given number, while multiples are produced by multiplying the given number by other integers.
| 2. How can I find the factors of a number? | |
Ans.To find the factors of a number, start by dividing the number by the smallest integer (which is 1) and continue dividing by consecutive integers until you reach the number itself. Any integer that divides the number evenly (with no remainder) is a factor. For example, to find the factors of 18, you would check for divisibility by 1, 2, 3, 6, 9, and 18, which gives you the factors: 1, 2, 3, 6, 9, and 18.
| 3. What is the least common multiple (LCM) and how is it determined? | |
Ans.The least common multiple (LCM) of two or more numbers is the smallest multiple that is common to all the numbers. To determine the LCM, you can list the multiples of each number and find the smallest common one. Alternatively, you can use the prime factorization method: factor each number into primes, take the highest power of each prime that appears in the factorizations, and multiply these together. For example, for 4 and 5, the LCM is 20, as it is the smallest number that both 4 and 5 divide evenly into.
| 4. Are all multiples of a number also its factors? | |
Ans.No, not all multiples of a number are its factors. Factors of a number are the integers that can divide it evenly, while multiples are the results of multiplying the number by other integers. For example, 12 is a factor of 36, but 36 is a multiple of 12. In this case, 12 can be multiplied by integers (1, 2, 3) to get 12, 24, and 36, but only 12, 6, 4, 3, 2, and 1 are the factors of 12.
| 5. How do I identify the greatest common factor (GCF) of two numbers? | |
Ans.To identify the greatest common factor (GCF) of two numbers, you can use the following methods: List the factors of each number and find the largest factor they have in common, or use the prime factorization method to find the common prime factors and multiply them. For example, to find the GCF of 24 and 36, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24, and the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The common factors are 1, 2, 3, 4, 6, and 12, making the GCF 12.
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