Write the cardinal number of the set of all integers $x$ which $60 / x$ is a natural numbers.

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Solution

$L e t, A = {x / x \in Z, a n d \frac{60}{x} \in N}$

$⟹ A = {1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60}$

So, $n (A) = 12$ (Ans)

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