Question

Find the smallest number by which2592 x 10^6be divided to make it a perfect cube.
a 4
6) 6
c) 8
d) 12​

Answer 1

Answer:

Find the smallest number by which 2592 should be divided so that the quotient is a perfect cube The folloiwng are the steps involved in solving the above problem .Arrange them in sequential order <br> (A) On prime factorisation 2592 =

<br> (B) 2592 should be divided by 12 so that the quotient is a perfect cube <br> (C ) Now 2592 =6^3 x 12

Answer 2

Answer:

d) 12

Step-by-step explanation:

10^6 is a perfect cube .

Cube root of 10^6 = 10^2

We need to check 2592 only

2592 =  3*3*3*3*2*2*2*2*2 = 3⁴ × 2⁵

Divide 2592 by 12=3*2*2

2592/12 = 3*3*3*2*2*2 = 3³ × 2³

Hence 2592 must be divided by 12 to make it a perfect cube.