Question

What is the correct relationship between factors and multiples of any natural number ?

• A. $\text{Factors of number}\le \text{number}\le \text{Multiple of number}$
• B. $\text{Factors of number}\ge \text{number}\ge \text{Multiple of number}$
• C. $\text{Factors of number}<\text{number}<\text{Multiple of number}$
• D. None of the above.

Answer 1

The correct option is A $\text{Factors of number}\le \text{number}\le \text{Multiple of number}$

If a number is a factor of a big number, then that big number is a multiple of the first number.

Example: Take a number $6$
$6\times 1=66\times 2=126\times 3=18...6\times 10=60$

Here, $6,12,\mathrm{18....60},..$ are multiples of 6.

$6=2\times 36=6\times 1$

Here, $1,2,3\&6$ are factors of $6$.

Hence $\text{Factors of number}\le \text{number}\le \text{Multiple of number}$