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Subjects
Class 10MathematicsReal NumbersPrime FactorisationHardLevel 7

If the number is (2^5\times3^4\times5^2\times7), by which smallest number should it be multiplied to make a perfect cube?

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Answer and explanation

Correct answer: (2\times3^2\times5\times7^2)

Step 1: In a perfect cube, exponents are multiples of 3. Step 2: Powers 5, 4, 2, and 1 must become 6, 6, 3, and 3. Step 3: The smallest multiplier is (2\times3^2\times5\times7^2).

Tags

perfect-cubeprime-exponentshard

Frequently asked questions

What is the correct answer to this question?

(2\times3^2\times5\times7^2)

Why is this the correct answer?

Step 1: In a perfect cube, exponents are multiples of 3. Step 2: Powers 5, 4, 2, and 1 must become 6, 6, 3, and 3. Step 3: The smallest multiplier is (2\times3^2\times5\times7^2).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.

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