Concept-wise Practice

counting-prime-factors MCQ Questions for Class 10

counting-prime-factors se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

All Tags Search Similar

Practice Questions

4 questions tagged with counting-prime-factors.

Question 1/4 Expert Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

यदि किसी संख्या का अभाज्य गुणनखंडन \(2^8\times3^6\times5^4\times7^3\times11^2\) है, तो दोहराव सहित अभाज्य गुणनखंडों की संख्या कितनी है?

If a number has prime factorisation \(2^8\times3^6\times5^4\times7^3\times11^2\), how many prime factors does it have with repetition?

Explanation opens after your attempt
Correct Answer

A. 23

Step 1

Concept

To count with repetition, add the exponents.

Step 2

Why this answer is correct

(8+6+4+3+2=23).

Step 3

Exam Tip

Counting only bases and counting with repetition are different. चरण 1: दोहराव सहित गिनती में घातों को जोड़ा जाता है। चरण 2: (8+6+4+3+2=23)। चरण 3: केवल आधार गिनना और दोहराव सहित गिनना अलग बातें हैं।

Open Question Page
Ask Friends
Question 2/4 Hard Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 9

यदि किसी संख्या का अभाज्य गुणनखंडन \(2^9\times3^7\times5^4\times7^3\times11^2\) है, तो दोहराव सहित अभाज्य गुणनखंडों की संख्या कितनी है?

If a number has prime factorisation \(2^9\times3^7\times5^4\times7^3\times11^2\), how many prime factors does it have with repetition?

Explanation opens after your attempt
Correct Answer

A. 25

Step 1

Concept

To count with repetition, add the exponents.

Step 2

Why this answer is correct

(9+7+4+3+2=25).

Step 3

Exam Tip

Keep the number of bases and the total count with repetition separate. चरण 1: दोहराव सहित गिनती में घातों को जोड़ा जाता है। चरण 2: (9+7+4+3+2=25)। चरण 3: आधारों की संख्या और दोहराव सहित कुल संख्या को अलग रखें।

Open Question Page
Ask Friends
Question 3/4 Hard Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 7

यदि किसी संख्या का अभाज्य गुणनखंडन \(2^6\times3^4\times5^3\times7^2\) है, तो दोहराव सहित अभाज्य गुणनखंडों की संख्या कितनी है?

If a number has prime factorisation \(2^6\times3^4\times5^3\times7^2\), how many prime factors does it have with repetition?

Explanation opens after your attempt
Correct Answer

A. 15

Step 1

Concept

For counting with repetition, add the exponents.

Step 2

Why this answer is correct

(6+4+3+2=15).

Step 3

Exam Tip

Remember the difference between the number of distinct bases and the count with repetition. चरण 1: दोहराव सहित गिनती में घातों को जोड़ा जाता है। चरण 2: (6+4+3+2=15)। चरण 3: अलग-अलग आधारों की संख्या और दोहराव सहित संख्या में अंतर याद रखें।

Open Question Page
Ask Friends
Question 4/4 Hard Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

यदि किसी संख्या का अभाज्य गुणनखंडन \(2^4\times3^2\times5^2\times7^2\) है, तो उसके कुल अभाज्य गुणनखंडों की संख्या कितनी है, यदि दोहराव गिना जाए?

If a number has prime factorisation \(2^4\times3^2\times5^2\times7^2\), how many prime factors does it have if repetition is counted?

Explanation opens after your attempt
Correct Answer

A. 10

Step 1

Concept

To count with repetition, add the exponents.

Step 2

Why this answer is correct

(4+2+2+2=10).

Step 3

Exam Tip

Keep the difference between distinct prime count and repeated prime count clear. चरण 1: दोहराव सहित गिनने के लिए घातों को जोड़ते हैं। चरण 2: (4+2+2+2=10)। चरण 3: अलग-अलग अभाज्य गिनने और दोहराव सहित गिनने में अंतर रखें।

Open Question Page
Ask Friends

counting-prime-factors Revision Links

All MCQ Tags

Browse concept directory

All Subjects

Subject-wise practice

Search counting-prime-factors

More keyword results
Student Class Required

Select your class first

Quiz questions, daily challenge and practice pages will open according to your selected class. Class 11/12 ke liye stream bhi select karein.