Find the smallest numbers by which 19008 must be divided and multiplie

1.	Find the smallest numbers by which 19008 must be divided and multiplied to obtain a perfect cube.
Answer» <html><body><p>3Step-by-step <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a>:Answer: (i) Prime <a href="https://interviewquestions.tuteehub.com/tag/factorization-982831" style="font-weight:bold;" target="_blank" title="Click to know more about FACTORIZATION">FACTORIZATION</a> of 81, is: 81 = 3 × 3 × 3 × 3 = 33 × 3 Here, a number 3 is the number by which 81 is divided to <a href="https://interviewquestions.tuteehub.com/tag/make-546668" style="font-weight:bold;" target="_blank" title="Click to know more about MAKE">MAKE</a> it a perfect cube, i.e., 81 ÷ 3 = 27 which is a perfect cube. Thus, the required <a href="https://interviewquestions.tuteehub.com/tag/smallest-646176" style="font-weight:bold;" target="_blank" title="Click to know more about SMALLEST">SMALLEST</a> number to be divided is 3.</p></body></html>

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