Question
Quantitative Aptitude Question on Number Systems
How many odd factors of the number 456 x 565 x 776 are multiples of 63?
A
5823
B
5929
C
4943
D
5943
Answer
5929
Explanation
Solution
The correct option is (B): 5929.
456 x 565 x 776 = (32 x 5)6 x (23 x 7)5 x (7 x 11)6
= 215 x 312 x 56 x 711 x 116
63 = 32 x 7
So, after removing 212 and (32 x 7) from the given number,
The remaining number = 310 x 56 x 710 x 116
So, the required number of factors = (10 + 1) (6 + 1) (10 + 1) (6 + 1) =5929