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Subjects
Class 10MathematicsReal NumbersFundamental Theorem of ArithmeticEasyLevel 4
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What is the prime factorisation of 144?

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Answer and explanation

Correct answer: (2^4\times3^2)

Step 1: Write (144=16\times9). Step 2: (16=2^4) and (9=3^2), so (144=2^4\times3^2). Step 3: 12 is composite, so (12\times12) is not prime factorisation.

Related tags

Prime-FactorisationPerfect-SquareEasy

Frequently asked questions

What is the correct answer to this question?

(2^4\times3^2)

Why is this the correct answer?

Step 1: Write (144=16\times9). Step 2: (16=2^4) and (9=3^2), so (144=2^4\times3^2). Step 3: 12 is composite, so (12\times12) is not prime factorisation.

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?
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