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Subjects
Class 10MathematicsReal NumbersFundamental Theorem of ArithmeticHardLevel 6
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What is the prime factorisation of 16384?

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Answer and explanation

Correct answer: (2^{14})

Step 1: Divide 16384 repeatedly by 2. Step 2: (16384=2^{14}). Step 3: 4 and 16 are composite, so they should not be written in the final prime form.

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Prime-FactorisationPowersHard

Frequently asked questions

What is the correct answer to this question?

(2^{14})

Why is this the correct answer?

Step 1: Divide 16384 repeatedly by 2. Step 2: (16384=2^{14}). Step 3: 4 and 16 are composite, so they should not be written in the final prime form.

Which subject and chapter does this question cover?

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

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  1. 1According to the Fundamental Theorem of Arithmetic, every composite number can be written in which form?
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  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?
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