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.**
Keep practising Unit 1A1: Relations, Functions and Graphs
Browse all Unit 1A1: Relations, Functions and Graphs questions for AP Calculus AB, or explore more Mathematics topics.
Related questions
What is the value of $\cos 60^{\circ}$?What is the value of $ in 30^{\circ}$?A wheel makes $360$ revolutions in one minute. Through how many radians does it turn in onSolve for y: 2y + 5/3 = 26/3 − ySolve for t: 5t − 3 = 3t − 5Which of the following is a linear equation in one variable?Solve for x: (x − 5)/3 = (x − 3)/5Using standard limits, evaluate $\lim_{x\to 0}\dfrac{a^x-1}{x}$ for $a>0$.