FAQs on Factors and Multiples Video Lecture - Class 5
1. What are factors? |
|
Factors are numbers that divide a given number exactly without leaving any remainder. For example, the factors of 10 are 1, 2, 5, and 10 because these numbers divide 10 without leaving any remainder.
2. What are multiples? |
|
Multiples are numbers that are obtained by multiplying a given number by any whole number. For example, the multiples of 3 are 3, 6, 9, 12, and so on, as these numbers can be obtained by multiplying 3 by 1, 2, 3, 4, and so on.
3. How can we find the factors of a given number? |
|
To find the factors of a given number, we need to divide the number by all the numbers from 1 to the given number. If the division is exact, without any remainder, then the number is a factor. For example, to find the factors of 12, we divide it by 1, 2, 3, 4, 6, and 12. The numbers 1, 2, 3, 4, 6, and 12 divide 12 exactly without leaving any remainder, so they are the factors of 12.
4. How can we determine if a number is a multiple of another number? |
|
To determine if a number is a multiple of another number, we need to divide the number by the given number. If the division is exact, without any remainder, then the number is a multiple. For example, to check if 15 is a multiple of 3, we divide 15 by 3. The division is exact as 15 ÷ 3 = 5, so 15 is a multiple of 3.
5. How are factors and multiples related? |
|
Factors and multiples are related because the factors of a number are a set of numbers that divide it exactly without leaving any remainder, while the multiples of a number are obtained by multiplying it with any whole number. Therefore, the factors of a number are also its multiples, as they can be obtained by multiplying the number by different whole numbers.