Math, asked by 9568616136, 4 days ago

By what smallest natural number should -17496 be divided so that the quotient become a prefect cube

Answers

Answered by arun846190
2

Answer

3 should be divided to -17496 to get prefect cube

prime factors of -17496= -2×2×2×3×3×3×3×3×3×3

Answered by tyrbylent
0

Answer:

3

Step-by-step explanation:

17496 = 2×8748 = 2×2×4374 = 2×2×2×2187 = 2×2×2×3×729 = 2×2×2×3×3×243 = 2×2×2×3×3×3×81 = 2×2×2×3×3×3×3×27 = 2×2×2×3×3×3×3×3×9 = 2×2×2×3×3×3×3×3×3×3 = 2³× 3^{7} = (2³×9³)×3

- 17496 ÷ 3 = - 5832 = ( - 18)³

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