Math, asked by Athithenu, 11 months ago

Divide 259875 by the smallest number so that the quotient is a perfect cube

Answers

Answered by ilovestudies
16

Let us do prime factorisation of 259875

259875 = 5x5x5x3x3x3x7x11

let us group the same numbers in group of 3s

5x5x5 x 3x3x3 x7 x11

we have to divide 259875 by 7x11 the it will be a perfect cube of 15

so the smallest number that we can divide it by is 77

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