Let’s start with division of 6. We can divide the given number by a number less than or equal to the given number.
So, number 6 can be written as:
6 = 1 × 6;
6 = 2 × 3;
6 = 3 × 2;
6 = 6 × 1;
Therefore numbers 1, 2, 3 and 6 are exact divisors of 6.
These numbers are called factors of 6.
So, factors are what we can multiply to get the number.
Or we can say, numbers that divides a given number completely i.e., without leaving remainder is called a factor of the given number. A factor is also called a divisor. A number can have many factors.
Example:
6 = 2 x 3
8 = 2 x 4
From the above example we conclude that a multiple is the product of a number and an integer.
Let’s find out the multiple of 2.
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8 and so on
Therefore, multiple of 2 are obtained by multiplying it by a natural number.
Example: Factors of 6 are 1, 2, 3 and 6.
Sum of all its factors = 1+2+3+6 = 12
12 = 2 × 6 (sum = 2 of the number)
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