Table of contents  
What are Factors?  
Definition of Multiples  
Difference Between Factors and Multiples  
Factors and Multiples Examples  
Frequently Asked Questions (FAQs) on Factors and Multiples 
The factors of 12 are the numbers that divide 12 exactly without leaving a remainder. These numbers are 1, 2, 3, 4, 6, and 12. For example, 2 is a factor of 12 because 2 divides 12 exactly leaving no remainder, whereas 5 is not a factor of 12 because 5 does not divide 12 exactly.
(ii) Factors of 20:
The factors of 20 are the numbers that divide 20 exactly without leaving a remainder. These numbers are 1, 2, 4, 5, 10, and 20. For example, 4 is a factor of 20 because 4 divides 20 exactly leaving no remainder, whereas 7 is not a factor of 20 because 7 does not divide 20 exactly.
Examples of Multiples:
(i) Multiples of 4:
Multiples of 4 are the numbers obtained by multiplying 4 with other natural numbers. These numbers are 4, 8, 12, 16, 20, and so on. For example, 12 is a multiple of 4 because 4 multiplied by 3 gives 12, whereas 9 is not a multiple of 4 because it cannot be obtained by multiplying 4 with a natural number.
(ii) Multiples of 7:
Multiples of 7 are the numbers obtained by multiplying 7 with other natural numbers. These numbers are 7, 14, 21, 28, 35, and so on. For example, 21 is a multiple of 7 because 7 multiplied by 3 gives 21, whereas 18 is not a multiple of 7 because it cannot be obtained by multiplying 7 with a natural number.
Factors of a number are the numbers that divide that number exactly without leaving a remainder, while multiples of a number are obtained by multiplying that number with other natural numbers. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, while the multiples of 4 are 4, 8, 12, 16, and so on.
A prime number is a natural number that has only two factors, 1 and the number itself. For example, the number 2 is a prime number because it has only two factors, 1 and 2.
If a number is a factor of another number, it is also a multiple of that number. For example, 4 is a factor of 24, so 24 is a multiple of 4.
To find the factors of a number, you need to list all the numbers that divide that number exactly without leaving a remainder. For example, the factors of 20 are 1, 2, 4, 5, 10, and 20.
A common factor is a factor that is shared by two or more numbers. For example, the common factors of 12 and 18 are 1, 2, 3, and 6, because these numbers can divide both 12 and 18 exactly without leaving a remainder.
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