Solve this: 1 Factorisation i) 23328 ii) 10648 iii) 52488 iv) 74088 v) 36864 vi) 15625 - Maths - Cubes and Cube Roots

Question

Solve this:

1 Factorisation
i) 23328
ii) 10648
iii) 52488
iv) 74088
v) 36864
vi) 15625

2 Which is the smallest number that must be multiplied with each of
the following numbers make it a perfect cube ?
i) 5400
ii) 24696
iii) 408375
iv) 142884

Varun Rawat · Accepted Answer

2 i
The prime factorisation of 5400 is,5400 = 2×2×2×3×3×3×5×5Now, prime factor 5 does not occur in the group of 3
So, 5400 is not a perfect cube
In order to make it a perfect cube, 5400 must be multiplied by 5
ii
The prime factorisation of 24696 is24696 = 2×2×2×3×3×7×7×7Now, prime factor 3 does not occur in the group of 3
So, 24696 is not a perfect cube
In order to make it a perfect cube, 24696 must be multiplied by 3
iii
The prime factorisation of 408375 is408375 = 3×3×3×5×5×5×11×11Now, prime factor 11 does not occur in the group of 3
So, 408375 is not a perfect cube
In order to make it a perfect cube, 408375 must be multiplied by 11
iv
The prime factorisation of 142884 is142884 =2×2×3×3×3×3×3×3×7×7Now, prime factor 2 and 7 do not occur in the group of 3
So, 142884 is not a perfect cube
In order to make it a perfect cube, 142884 must be multiplied by 14

Solve this: 1. Factorisation. i) 23328 ii) 10648 iii) 52488 iv) 74088 v) 36864 vi) 15625 2. Which is the smallest number that must be multiplied with each of the following numbers make it a perfect cube ? i) 5400 ii) 24696 iii) 408375 iv) 142884

Solve this:

1. Factorisation.
i) 23328
ii) 10648
iii) 52488
iv) 74088
v) 36864
vi) 15625

2. Which is the smallest number that must be multiplied with each of the following numbers make it a perfect cube ?
i) 5400
ii) 24696
iii) 408375
iv) 142884