(Q). How many factors of N = 2⁵×3⁵×5⁵×7⁵×11⁵ ends with 3 zeros?
Solution:-
N = 2⁵×3⁵×5⁵×7⁵×11⁵
N = 2³×5³(2²×3⁵×5²×7⁵×11⁵)
= 3×6×3×6×6
= 1944
these 1944 factors ends with 3 zeros
Hence 1944 Answer
(Q). How many factors of N = 2⁵×3⁵×5⁵×7⁵×11⁵ ends with 3 zeros?
Solution:-
N = 2⁵×3⁵×5⁵×7⁵×11⁵
N = 2³×5³(2²×3⁵×5²×7⁵×11⁵)
= 3×6×3×6×6
= 1944
these 1944 factors ends with 3 zeros
Hence 1944 Answer