Advertisements
Advertisements
प्रश्न
The least number by which 72 be divided to make it a perfect cube is ______.
Advertisements
उत्तर
The least number by which 72 be divided to make it a perfect cube is 9.
Explanation:
Resolving 72 into prime factors, we get
72 = 2 × 2 × 2 × 3 × 3
Grouping the factors in triplets of equal factors, we get
72 = (2 × 2 × 2) × 3 × 3
Clearly, if we divide 72 by 3 × 3, the quotient would be 2 × 2 × 2, which is a perfect cube.
Hence, the least number by which 72 be divided to make it, a perfect cube, is 9.
APPEARS IN
संबंधित प्रश्न
You are told that 1331 is a perfect cube. Can you guess without factorization what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768
Evaluate:
Find The cube root of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that 20346417 = 9261 × 2197 .
Making use of the cube root table, find the cube root
7342 .
Making use of the cube root table, find the cube root
0.27
Making use of the cube root table, find the cube root
8.6 .
Making use of the cube root table, find the cube root
7532 .
What is the least number by which 30375 should be multiplied to get a perfect cube?
Find the cube root of -1331.
Using prime factorisation, find which of the following are perfect cubes.
343
