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What is the smallest number by which the following numbers must be multipled, so that the products are perfect cubes? : a. 675 b. 1323 c. 2560 d. 7803

Posted by Rakshita Deshpande 5 years, 1 month ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 5 years, 1 month ago

(i) 675

675 = 3 × 3 × 3 × 5 × 5 = 3³× 5²

∴To make a perfect cube we need to multiply the product by 5.

(ii) 1323

1323 = 3 × 3 × 3 × 7 × 7 = 3³ × 7²

∴To make a perfect cube we need to multiply the product by 7.

(iii) 2560

2560 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 = 2³ × 2³ × 2³ × 5

∴To make a perfect cube we need to multiply the product by 5 × 5 = 25.

(iv) 7803

7803 = 3 × 3 × 3 × 17 × 17 = 3³ × 17²

∴To make a perfect cube we need to multiply the product by 17.

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