Solution
Factors of 1248 = 2 x 2 x 2 x 2 x 2 x 3 x 13
It can be written as
1248 = $$2^{5}$$ x $$3^{1}$$ x $$13^{1}$$
Factors are written in the form: $$2^{p}$$ x $$3^{q}$$ x $$13^{r}$$
Total number of divisors = (p+1) x (q+1) x (r+1)
= (5+1) x (1+1) x (1+1)
= 6 x 2 x 2 = 24
1 and the number itself are excluded, then
24 - 2 = 22
So, the number of divisors will be 22.
Hence, option C is correct.
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