Prime Factorisation of Cube Numbers

Q.

Find the smallest number by which 8788 must be divided so that the quotient will be a perfect cube.

1. 4

2. 3

3. 5

4. 6

Q.

What should be multiplied with $a^3$ $b^2$ to make it a perfect cube? Given 'a' and 'b' are prime numbers.

1. $b$

2. $a^2$ $b$

3. $a^3$

4. $b^3$

Q.

The smallest number that is to be multiplied with 6655 so that the product will be a perfect cube is ___.

Q.

What is the smallest number with which 1188 should be divided to get a perfect cube?

1. 24

2. 27

3. 44

4. 54

Q.

When 81 is multiplied by a positive integer X, we get a perfect cube, then the value of X is:

1. 9

2. 81

3. 11

4. 8

Q.

If 6655 is divided by __, we get a perfect cube number.

Q. The prime factorization of 648 is

1. $2^2\times 3^4$
2. $2^3\times 3^4$
3. $2^3\times 3^5$
4. $2^3\times 3^6$

Q.

What is the minimum number we need to multiply with 392 to make it a perfect cube?

1. 4

2. 6

3. 7

4. 2

Q. The prime factorization of 392 is

1. $2^2\times 5^4$
2. $2^3\times 3^5$
3. $2^3\times 7^2$
4. $2^3\times 7^3$

Q.

How to make 256 a perfect cube?

1. Multiply by 4

2. Divided by 8

3. Multiply by 2

4. Divide by 2