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Class 10MathematicsReal NumbersPrime FactorisationMediumLevel 7

Which is the prime factorisation of 1728?

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Answer and explanation

Correct answer: (2^6\times3^3)

Step 1: Recognise (1728=12^3). Step 2: Since (12=2^2\times3), (12^3=2^6\times3^3). Step 3: Since 12 is composite, write powers of 2 and 3 in the final form.

Tags

prime-factorisationcube-numbermedium

Frequently asked questions

What is the correct answer to this question?

(2^6\times3^3)

Why is this the correct answer?

Step 1: Recognise (1728=12^3). Step 2: Since (12=2^2\times3), (12^3=2^6\times3^3). Step 3: Since 12 is composite, write powers of 2 and 3 in the final form.

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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