Question

Find the smallest no. by which 1323 must be multiplied so that the product is a perfect cube

Answer 1

Hello Dear!!!

Here's your answer....

1323

first,we have to do prime factorization

1323 - 3*3*3*7*7

1323 - 3^3 * 7^2 

the power of 3 is 3

but the power of 7 is 2

to become a perfect cube...the power of 7 should be 3

so....it should be multiplied with 7

so..... 1323 should be multiplied with 7 to become perfect cube...

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HOPE THIS HELPS YOU......