Question

Find the smallest number by which 37944 must be divided to obtain a
perfect cube?​

Answer 1

Answer:

4743

Step-by-step explanation:

37944 = 2×2×2×3×3× 17 × 31

= (2×2×2) × (3×3) × 17 × 31

since we need groups of 3 to get perfect cube, we divide the no. by the factors which are not in groups of 3

( (3×3) ×17×31) is smallest no. which must divide 37944

9× 17× 31

4743