alleryIs 1188 a perfect cube? If not, the smallest natural number by which 1188 must be DIVIDED to make the quotient a perfect cube is:
A4
B11
C44
D121
Answer & Solution
Correct answer: C. 44
1188 = 2² × 3³ × 11. The prime 2 appears twice (need three) and the prime 11 appears only once.
Dividing by 2² × 11 = 44 removes both: 1188 / 44 = 27 = 3³ — a perfect cube.
**So smallest divisor is 44.**
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