Question

How do you find all factors of \[36\]?

Answer 1

Hint:
We have to find the factor of a number, that is we have to find the numbers that can divide the number completely. Since, the number itself and one can divide the number completely, so one and the number itself is the factor of the number. Other remaining numbers can be found by dividing the number by the smaller number.

Complete Step by step Solution:
We have to find the factors of \[36\].
One divides the number completely, so one is the factor of \[36\].
\[2\] divides \[36\] completely, so \[2\] is the factor of \[36\].
\[3\] divides \[36\] completely, so \[3\] is also a factor of \[36\].
\[4\] divides \[36\] completely, so \[4\] is also a factor of \[36\].
When we multiply \[6\] by \[6\], we get \[36\], so \[6\] is also a factor of \[36\].
When we divide \[36\] by \[9\], we get zero as remainder, so \[9\] is also a factor of \[36\].
\[12\] divides \[36\] completely, so \[12\] is also a factor of \[36\].
\[18\] divides \[36\] completely, so \[18\] is also a factor of \[36\].
\[36\] also divides \[36\] completely, so \[36\] itself is its factor.

So, we get \[1,2,3,4,6,9,12,18\] and \[36\] as factors of \[36\].

Note:
Factors of a number are those numbers which are less than and equal to the number and divides the number completely. Some numbers have only two factors and some have more than two factors. The numbers which have factors one and the number itself only are called prime numbers. The numbers which have more than two factors are called composite numbers.