Question
Find if the following number is a perfect cube? $24000$
✓
Answer
$24000$
$\because 24000 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 5 \times 5 \times 5$
$= (2)^2 \times (2)^3 \times (5)^3 \times 3$
$\therefore 24000$ is not a perfect cube.
$\because 24000 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 5 \times 5 \times 5$
| $2$ | $24000$ |
| $2$ | $12000$ |
| $2$ | $6000$ |
| $2$ | $3000$ |
| $2$ | $1500$ |
| $2$ | $750$ |
| $3$ | $375$ |
| $5$ | $125$ |
| $5$ | $25$ |
| $5$ | $5$ |
| $1$ |
$\therefore 24000$ is not a perfect cube.
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