find the smallest number by which46305 is multiplied so as to make perfect cube
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Find the prime number of 46305
46305 = 3³ x 5 x 7³
Define k:
Let k be the smallest number to be multiplied to form a perfect cube
Solve k:
To be a perfect cube, all exponents must be in multiples of 3s.
46305 = 3³ x 5 x 7³
46305k = 3³ x 5³ x 7³
k = 5² = 25
Answer: The number is 25
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