Home
Class 8
MATHS
Find the smallest number by which each o...

Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube.(i) 81                     (ii) 128                    (iii) 135              (iv) 192(v) 704

Text Solution

AI Generated Solution

To find the smallest number by which each of the given numbers must be divided to obtain a perfect cube, we will follow these steps for each number: ### (i) For 81: 1. **Prime Factorization**: - 81 can be factored as follows: - 81 ÷ 3 = 27 - 27 ÷ 3 = 9 - 9 ÷ 3 = 3 ...
Promotional Banner

Topper's Solved these Questions

  • CUBES AND CUBE ROOTS

    NCERT ENGLISH|Exercise EXERCISE 7.2|3 Videos
  • CUBES AND CUBE ROOTS

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|8 Videos
  • COMPARING QUANTITIES

    NCERT ENGLISH|Exercise EXERCISE 8.1|6 Videos
  • DATA HANDLING

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|1 Videos

Similar Questions

Explore conceptually related problems

Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube.(i) 243 (ii) 256 (iii) 72 (iv) 675(v) 100

Find the smallest number by which 28812 must be divided so that the quotient becomes a perfect square.

What is the smallest number by which the following numbers must be multiplied, so that the products are perfect cubes ? (I)675 (ii) 1323 (iii) 2560

Find the smallest number by which the given number must be divided so that the resulting number is a perfect square : (i)14283 (ii) 1800 (iii) 2904

What is the smallest number by which the following numbers must be multiplied, so that the products are perfect cubes ? (I)7803 (ii) 107811 (iii) 35721

Find the smallest number by which 8768 must be divided so that the quotient is a perfect cube.

Find the smallest number by which the given number must be multiplied so that the product is a perfect square : (i)23805 (ii) 12150 (iii) 7688

Find the smallest number by which 26244 should be divided so that the quotient is a perfect cube .

Find the smallest number by which 25200 should be divided so that the result is a perfect square.

What is the smallest number by which 3087 must be divided so that the quotient is a perfect cube ?