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
Find the cube root of the following number by the prime factorisation method.
175616
Find the cube root of the following number by the prime factorisation method.
91125
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 130 .
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 345 .
\[\sqrt[3]{8 \times . . .} = 8\]
\[\sqrt[3]{1728} = 4 \times . . .\]
\[\sqrt[3]{\frac{729}{1331}} = \frac{9}{. . .}\]
The least number by which 72 be multiplied to make it a perfect cube is ______.
Using prime factorisation, find which of the following are perfect cubes.
1331
Using prime factorisation, find the cube roots of 512
