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Subjects
Class 10MathematicsReal NumbersFundamental Theorem of ArithmeticHardLevel 4
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Which is the prime factorisation of 11025?

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Answer and explanation

Correct answer: (3^2\times5^2\times7^2)

Step 1: Recognise (11025=105^2). Step 2: Since (105=3\times5\times7), (105^2=3^2\times5^2\times7^2). Step 3: In perfect squares, every prime exponent is even.

Related tags

Prime-FactorisationPerfect-SquareHard

Frequently asked questions

What is the correct answer to this question?

(3^2\times5^2\times7^2)

Why is this the correct answer?

Step 1: Recognise (11025=105^2). Step 2: Since (105=3\times5\times7), (105^2=3^2\times5^2\times7^2). Step 3: In perfect squares, every prime exponent is even.

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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