FAQs on Some Important Points related to Factors and Multiples Video Lecture  Advance Learner Course: Mathematics (Maths) Class 5
1. What are factors and multiples? 

Factors are the numbers that can be divided evenly into another number without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.
Multiples, on the other hand, are the numbers that are obtained by multiplying a given number by another integer. For instance, the multiples of 5 are 5, 10, 15, 20, and so on.
2. How can I find the factors of a given number? 

To find the factors of a number, you can start by dividing the number by 1 and itself, and then continue dividing it by other integers in between. The factors will be all the numbers that divide the given number evenly without leaving a remainder.
For example, to find the factors of 24, you can divide it by 1, 2, 3, 4, 6, 8, 12, and 24. Therefore, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
3. What is the difference between factors and multiples? 

The main difference between factors and multiples is the relationship they have with a given number. Factors are the numbers that divide a given number evenly, while multiples are the numbers obtained by multiplying a given number by another integer.
For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, whereas the multiples of 12 are 12, 24, 36, 48, and so on.
4. How can I determine if a number is a multiple of another number? 

To determine if a number is a multiple of another number, you can check if it can be obtained by multiplying the other number by an integer. If the division of the given number by the other number results in an integer quotient, then it is a multiple.
For instance, to determine if 15 is a multiple of 5, you divide 15 by 5. Since 15 divided by 5 equals 3 with no remainder, 15 is a multiple of 5.
5. How can I find the least common multiple (LCM) of two or more numbers? 

To find the least common multiple (LCM) of two or more numbers, you can follow these steps:
1. List the prime factors of each number.
2. Identify the highest power of each prime factor that appears in any of the numbers.
3. Multiply all the prime factors with their highest power together.
For example, to find the LCM of 4 and 6:
 The prime factors of 4 are 2^2.
 The prime factors of 6 are 2 * 3.
 The highest power of 2 is 2^2, and the highest power of 3 is 3^1.
 Multiply 2^2 * 3^1 = 12.
Therefore, the LCM of 4 and 6 is 12.