Question

By what number should 5400 be divided to make it a perfect cube?
a)25
b)14
c) 36
d) 49​

Answer 1

Answer:

Step-by-step explanation:

25 number should 5400 be divided to make it a perfect cube.

5400÷ 25 = 216

216= 6 × 6 × 6 = 6³

Hence 6 is the answer.

Answer 2

Answer:

$25$

Step-by-step explanation:

• As per the data given in the question, we need to find the number which is to be divided to make the number $5400$ a perfect cube

• Factorization of $5400=5\times5\times3\times3\times3\times2\times2\times2$

$=5^{2} \times3^{3} \times2^{3}$

• We know that a perfect cube has multiples of $3$ as powers of prime factors.

• Here, the number $5$ is repeated twice.

• So, we should divide the number by $25$ to make $5400$ a perfect cube.

Hence, $25$ should be divided to make $5400$ a perfect square.