Question

Smallest number by which 6750 should be divided to get the perfect cube

Answer 1

Hi !!!

Here is your answer,

$6750 = 2 \times 5 \times 5 \times 5 \times 3 \times 3 \times 3 \\ \\ the \: \: least \: \: number \: \: is \: 4 \\ \\ 6750 \times 4 = 27000 \\ \\ \sqrt[3]{27000} = 30$


Hope it helps.

Answer 2

Resolve 6750 into prime factors
6750=2×3×3×3×5×5×5
In grouping the factors, we find that 2×2 is left out.

So, we divide 6750 by 2×2=4
Therefore, 6750 must be divided by 4 so that that the quotient becomes a perfect cube..