Question

find the smallest number by which 54000 be multiples of 8 is 888. Find these it a perfect Clube​

Answer 1

Answer:

Prime factorising 5400, we get,

5400=3×3×3×5×5×2×2×2

         =2  

3

×3  

3

×5  

2

.

We know, a perfect cube has multiples of 3 as powers of prime factors.

Here, number of 2's is 3, number of 3's is 3 and number of 5's is 2.

So we need to multiply another 5 to the factorization to make 5400 a perfect cube.

Hence, the smallest number by which 5400 must be multiplied to obtain a perfect cube is 5.

Step-by-step explanation: