Question

If A={x:x is a factor of 36}then n(A)=​

Answer 1

Given:

A= {x : x is a factor of 36}

To Find:

n(A):

Explanation

A= {x : x is a factor of 36}

⇒  A is a set of x where x is a factor of 36

n(A)

⇒ Number of elements in A

Solution

Find the factors of 36:

36 = 1 x 36

36 = 2 x 18

36 = 3 x 12

36 = 4 x 9

36 = 6 x 6

Factors = 1, 2, 3 ,4 ,6, 9, 12, 18, 36

A= { 1, 2, 3 ,4 ,6, 9, 12, 18, 36 }

Find the number of elements in A:

Factors = 1, 2,3 ,4 ,6, 9, 12, 18, 36

Count = 9

n(A) = 9

Answer: n(A) = 9