Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 10MathematicsReal NumbersFundamental Theorem of ArithmeticExpertLevel 6
0 reads0 ratings0 helpful

If (N=2^{11}\times3^8\times5^5\times7^2), by which smallest number must (N) be multiplied to make it a perfect cube?

Advertisement

Answer and explanation

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

Step 1: For a perfect cube, exponents must be multiples of 3. Step 2: We must make 11 to 12, 8 to 9, 5 to 6, and 2 to 3. Step 3: Therefore, the smallest multiplier is (2\times3\times5\times7).

Related tags

Perfect-CubePrime-ExponentsExpert

Frequently asked questions

What is the correct answer to this question?

(2\times3\times5\times7)

Why is this the correct answer?

Step 1: For a perfect cube, exponents must be multiples of 3. Step 2: We must make 11 to 12, 8 to 9, 5 to 6, and 2 to 3. Step 3: Therefore, the smallest multiplier is (2\times3\times5\times7).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Fundamental Theorem of Arithmetic.

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

10 more MCQs
  1. 1According to the Fundamental Theorem of Arithmetic, every composite number can be written in which form?
  2. 2What is the prime factorisation of 36?
  3. 3What is the correct prime factorisation of 60?
  4. 4What does uniqueness mean in the Fundamental Theorem of Arithmetic?
  5. 5In the prime factorisation of 84, what is the power of 2?
  6. 6The number (2^3\times3^2) is equal to which number?
  7. 7Which is the prime factorisation of 45?
  8. 8Which of the following numbers is prime?
  9. 9Which of the following numbers is composite?
  10. 10What is the prime factorisation of 90?
Advertisement