find the smallest no. by which 2340 must be multiplied so that the product is a perfect cube
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Heya user,
2340 = 2 * 2 * 3 * 3 * 5 * 13;
For making it a perfect cube, we need pairs of 3 prime factors --->
Which is ---> 2 * 2 * 2 * 3 * 3 * 3 * 5 * 5 * 5 * 13 * 13 * 13 = 2³ * 3³ * 5³ * 13³
Which is ---> ( 2² * 3² * 5 * 13 ) * ( 2 * 3 * 5² * 13²)
Which is -----> 2340 * 25350
Hence, the least no. we need to multiply with 2340 to get a perfect cube is ======> 25350
2340 = 2 * 2 * 3 * 3 * 5 * 13;
For making it a perfect cube, we need pairs of 3 prime factors --->
Which is ---> 2 * 2 * 2 * 3 * 3 * 3 * 5 * 5 * 5 * 13 * 13 * 13 = 2³ * 3³ * 5³ * 13³
Which is ---> ( 2² * 3² * 5 * 13 ) * ( 2 * 3 * 5² * 13²)
Which is -----> 2340 * 25350
Hence, the least no. we need to multiply with 2340 to get a perfect cube is ======> 25350
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