By which smallest number must 5400 be multiplied to make it a perfect cube?
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5400 must be multiplied by 5 to make it a perfect cube
Step-by-step explanation:
Given the number 5400
we have to find the smallest number by which the above number is multiplied to make it a perfect cube
The prime factorization is
5400=2\times 2\times 2\times 3\times 3\times 3\times 5\times 5400=2×2×2×3×3×3×5×5
The above number is perfect cube if the all the prime factors occur in three
Therefore to make the above number a perfect cube we multiplied with prime factors which are not in three i.e "5"
hence, 5400 must be multiplied by 5 to make it a perfect cube
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