Question

The number of positive divisors of 67375 which are greater than 5 is

• A. 24
• B. 23
• C. 22
• D. 5

Answer 1

Answer: (B)

23

Answer 2

$67375$ can be written as $67375 = 5^3 \times 11 \times 7^2$
$= 125 \times 11 \times 49$
$(125, 11) = 1, (49, 11) = 1, (125, 49) = 1$
$\therefore$ Number of divisor of $67375$ = number of divisor of $(125) \times$ number of divisor of $(11) \times$ number of divisor of (49)
$= 4 \times 2 \times 3 = 24$
Number of divisor which are greater than 5 is = 24 - 1 = 23