Question

What are the factors of 156?

Answer 1

Hint: We need to find the factors of the number 156. The factor is defined as a number that completely divides another number generating the final remainder of zero. We find the numbers that divide 156 exactly generating the final remainder of zero to get the desired result.

Complete step by step solution:
We are given a number and are asked to find the factors of the given number. We will be solving the given question by finding out the numbers that divide 156 exactly generating the final remainder of zero.
Factors, in mathematics, are the numbers that are multiplied with other numbers to give the original number.
In simple terms, The factor is defined as a number that completely divides another number generating the final remainder of zero.
Examples :
Factors of 2: 1,2.
Reason: The product of the factors results in the original number which is 2.
Factors of 3:1,3.
Reason: The original number 3 can be expressed as the product of its factors 1,3. so 1,3 are the factors of 3.
According to the question,
The number 156 can be expressed as the product of two numbers.
The representation of the same is given as follows,
$\Rightarrow 1\times 156=156$
$\Rightarrow 2\times 78=156$
$\Rightarrow 3\times 52=156$
$\Rightarrow 4\times 39=156$
$\Rightarrow 6\times 26=156$
$\Rightarrow 12\times 13=156$
$\Rightarrow 13\times 12=156$
$\Rightarrow 26\times 6=156$
$\Rightarrow 39\times 4=156$
$\Rightarrow 52\times 3=156$
$\Rightarrow 78\times 2=156$
$\Rightarrow 156\times 1=156$
From the above, we know that the number 156 generates a final remainder of zero when divided by 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, and 156.
$\therefore$The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, and 156 respectively.

Note: The factors of a dividend during division can be found out as follows, If the remainder upon the division of dividend against divisor is zero then we can conclude that divisor and quotient obtained are factors of dividend.