Question

What number multiplied to 15000 to get perfect cube?

Answer 1

Hello friend

Answer is given in the above photo

HOPE THIS ANSWER WAS HELPFUL.....

Answer 2

Heya dear user !!!

Here is your answer,

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Resolving 15000 into prime factors, we get

15000 = 2×2×2×5×5×5×5×3

Grouping the factors in triplets of equal factors, we get
15000 = 2³ × 5³ × 5¹ × 3¹

We find that 2 and 5 occurs as a prime factors of 15000 thrice, but 5,3 occur as a prime factor only once.

Thus, if we multiply 15000 by 5,5,3,3 so, 5 and 3 will occur as a prime factor thrice and the product will be 2×2×2×5×5×5×5×5×5×3×3×3 which is a perfect cube.

Hence, the number which should be multiplied with 15000 to get a perfect cube, is 5×5×3×3 = 225

=> 15000×225 = 3375000
and
3375000 = 2×2×2×5×5×5×5×5×5×3×3×3

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Hope it helps.