Question

What are the divisors of \[60\] ?

Answer 1

Hint: This question involves the arithmetic operations like addition/ subtraction/ multiplication/ division. Also, we need to know how to find the divisors for the given number in the question. Also, we need to know what is dividend and divisor. The final answer would contain all the possible divisors of the given number.

Complete step by step solution:
In this question, we would find the divisor of \[60\] .
we would find the divisor of \[60\] .
Let’s solve the given problem,
We know that,
 \[n = 1,2,3,4,5,....\]
Let’s check the possible divisors of \[60\] the natural numbers.
Let’s take the number \[1\]
 \[\dfrac{{60}}{1} = 60\] , it gives a whole number as an answer, so we can take \[1\] it as a divisor of \[60\] .
Let’s take the number \[2\]
 \[\dfrac{{60}}{2} = 30\] , it gives a whole number as an answer, so we can take \[2\] it as a divisor of \[60\] .
Let’s take the number \[3\]
 \[\dfrac{{60}}{3} = 20\] , it gives a whole number as an answer, so we can take \[3\] it as a divisor of \[60\] .
Let’s take the number \[4\]
 \[\dfrac{{60}}{4} = 15\] , it gives a whole number as an answer, so we can take \[4\] it as a divisor of \[60\] .
Let’s take the number \[5\]
 \[\dfrac{{60}}{5} = 12\] , it gives a whole number as an answer, so we can take \[5\] it as a divisor of \[60\] .
Let’s take the number \[6\]
 \[\dfrac{{60}}{6} = 10\] , it gives a whole number as an answer, so we can take \[6\] it as a divisor of \[60\] .
Let’s take the numbers \[7,8,9\]
When we divide the term \[60\] by \[7,8,9\] , it doesn’t give the whole number as an answer. So we can’t take these terms as a divisor of \[60\] (You can use a calculator for understanding).
Let’s take the number \[10\]
 \[\dfrac{{60}}{{10}} = 6\] , it gives a whole number as an answer, so we can take \[10\] it as a divisor of \[60\] .
Let’s take the number \[11\]
When we divide the term \[60\] by \[11\] , it doesn’t give the whole number as an answer. So, we won’t take this term as a divisor of \[60\] .
Let’s take the number \[12\]
 \[\dfrac{{60}}{{12}} = 5\] , it gives a whole number as an answer, so we can take \[12\] it as a divisor of \[60\] .
When we divide the term \[60\] by \[13,14\] the answer will be in decimal form. So we can’t take \[13,14\] it as a divisor.
Let’s take the number \[15\]
 \[\dfrac{{60}}{{15}} = 4\] , it gives a whole number, so we can take \[15\] it as a divisor of \[60\] .
When we divide the term \[60\] by \[16,17,....59\] , all the answers will be in a decimal form so we can’t take these numbers as a divisor \[60\] .
Let’s take the number \[60\]
 \[\dfrac{{60}}{{60}} = 1\] , so we can take \[60\] as a divisor of \[60\] .
So, the final answer is,
The divisor of \[60\] is \[1,2,3,4,5,6,10,12,15\] and \[60\]
So, the correct answer is “ \[1,2,3,4,5,6,10,12,15\] ”.

Note: This question describes the arithmetic operations like addition/ subtraction/ multiplication/ division. Note that during the division process if we get a whole number as an answer we can take the term in the divisor place as a divisor of the dividend. If we get decimal numbers as an answer during the division process we won’t take the term present in the divisor as a divisor of the dividend.