Question

find the smallest number by which 1323 must be multiplied to obtain a perfect cube

Answer 1

hye
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aim :to find  the smallest number by which 1323 must be multiplied so that the product is a perfect cube


=>let us find the prime factorsiation  of 1323

=>it is in the photo given below

=>1323 = 3³ x 7²

we see that 7 is not in triplet 

7 is he smallest number by which 1323 must be multiplied so that the product is a perfect cube


=>1323 *7 =  9261


=>∛9261   = 21


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hope it helps u....