Advertisements
Advertisements
प्रश्न
With what least number must 8640 be divided so that the quotient is a perfect cube?
उत्तर
The prime factors of 8640 are
= 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5
= (2 × 2 × 2) × (2 × 2 × 2) × (3 × 3 × 3) × 5
Clearly, 8640 must be divided by 5. So, that the quotient is a perfect cube.
APPEARS IN
संबंधित प्रश्न
Find the cube root of the following number by the prime factorisation method.
46656
Find the cube root of the following number by the prime factorisation method.
175616
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 1331 .
Evaluate:
Making use of the cube root table, find the cube root
732 .
Making use of the cube root table, find the cube root
133100 .
What is the length of the side of a cube whose volume is 275 cm3. Make use of the table for the cube root.
Using prime factorisation, find which of the following are perfect cubes.
729
Using prime factorisation, find which of the following are perfect cubes.
1331
