Question

Total number of even divisors of $2079000$ which are divisible by $15$ are

• A. $54$
• B. $128$
• C. $108$
• D. $72$

Answer 1

Answer: (C)

$108$

$2079000=2^3\times 3^3\times 5^3\times 7\times 11$
For the divisor to be even and divisible by $15$;
$2$, $3$ and $5$ must occur once.
Therefore, the total number of required divisors are
$3\times 3\times 3\times 2\times 2=108$