Question

$1,2,4$ and $8$ are the factors of which number?

Answer 1

Hint: To solve this question, we will first find the factors of $1,2,4$ and $8$ individually and then filter out the common ones between them. The factor of a number is defined as a number which divides the given number completely. For example, factors of $10$ are \[1,{\text{ }}2,{\text{ }}5{\text{ }}and{\text{ }}10\].

Complete step by step answer:
In the above question, we need to find that $1,2,4$ and $8$ are the factors of which number.
But first we should know the definition of a factor.
A factor is a number that divides another number evenly, that is with no remainder.
Factors of a number can be referred to as numbers or algebraic expressions that evenly divide a given number/expression.
The factors of a number can either be positive or negative.
We need to find that $1,2,4\,and\,8$ are the factors of which number. First, we will write the individual factors-
Factors \[\left( 1 \right){\text{ }} - {\text{ }}1\]
Factors \[\left( 2 \right){\text{ }} - {\text{ }}1,{\text{ }}2\]
Factors \[\left( 4 \right){\text{ }} - {\text{ }}1,{\text{ }}2,{\text{ }}4\]\[\left( 4 \right){\text{ }} - {\text{ }}1,{\text{ }}2,{\text{ }}4\]
Factors \[\left( 8 \right){\text{ }} - {\text{ }}1,{\text{ }}2,{\text{ }}4,{\text{ }}8\]

From these, we can clearly see that $1,2,4\,and\,8$ are the factors of $8$.
We can say that all the multiples of $8$ will have $1,2,4$ and $8$ as factors along with some other factors. But $8$ is the number which has the only multiples as $1,2,4$ and $8$.

Note:
It should be noted that factors of any number can be either positive or negative and when we multiply any two negative numbers, it results in a positive number and we know that when we multiply any two positive numbers, it results in a positive number. Also, students often get confused between factors and multiples of a number. A factor is a number which exactly divides the given number. A multiple is a number which is exactly divided by the given number. For example,
Factors \[\left( {10} \right){\text{ }} - {\text{ }}1,{\text{ }}2,{\text{ }}5,{\text{ }}10\]
Multiples \[\left( {10} \right){\text{ }} - {\text{ }}10,{\text{ }}20,{\text{ }}30\] and so on