Question

3. Find the smallest number by which 1944 must be multiplied to get a perfect cube.

Answer 1

1944 = 2³ * 3³ * 3²
∴it needs to be multiplied by 3 to become a perfect cube
pls mark as brainliest

Answer 2

Answer:

Step-by-step explanation: prime factorize 1944 = 1944/2,972/2,486/2,243/3,81/3,27/3,9/3,3

1944 = 2*2*2 *  3*3*3  *3*3

here 3*3 is not paired so we should multiply it 3*3 = 9

next we need to divide 1944/9 = 216

216  is a perfect cube

cube root of 216 = 6

smallest number by which 1944 must be divided is 9 to get a perfect cube

and the number obtained is  216

sorry i just realized it was multiplied

Part 2 [actual question]

prime factorize 1944 =2*2*2*3*3*3*3*3

here 3*3 is not paired so we take 3 out and multiply with 1944

1944*3 = 5832

5832 is a perfect cube

cube root of 5832 = 18

smallest number by which 1944 must be multiplied  is 3 to get a perfect cube

and the number obtained is  5832

and cube root of 5832 = 18