Tuesday, June 29

Factors and multiple


Let Us Learn About Factors and multiple


What is Multiple?


When two numbers are multiplied together, the result is called a multiple

6 is a multiple of 2 and 3

9 is a multiple of 3 only

10 is a multiple of 5 and...

Can you say what the other number is?

A multiple of a number is a number obtained by multiplying it by a natural number.


If we multiply 3 by 1, 2, 3, 4, 5, 6… ,we get 3×1 = 3, 3×2 = 6, 3×3 = 9, 3×4 = 12, 3×5 = 15, 3×6 = 18 … Thus, 3, 6, 9, 12, 15, 18 …are multiples of 3 Clearly, a number is a multiple of each of its factors. The multiples of 4 are 4, 8, 12, 16, 20, 24, 28… Each of these multiples is greater than or equal to 4.

What is Factors?
The numbers that make a multiple are called factors

2 and 3 are factors of 6

3 is also a factor of 9

10 has two factors

Can you say what they are?

A factor of a number is an exact divisor of that number. In other words, a factor of a number is that number which completely divides the number without leaving a remainder. Each of the numbers 1, 2, 3, 4, 6 and 12 is a factor of 12. However, none of the numbers 5, 7, 8, 9,10 and 11 is a factor of 12.



let us understand with example, 8 divides 40 exactly, therefore 8 is a factor of 40.Similarly, 4 is a factor of 16 and 5 is a factor of 25.


Note: "1" is the common factor of every number and every number is always a factor of itself.

1 is the only number which has exactly one factor, so it is a unique number.


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