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Which number has exponent (4) of (2) and exponent (2) of (5) in its prime factorisation, but does not have (3) as a factor?

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Answer and explanation

Correct answer: 400

Step 1: The condition requires (2^4 \times 5^2). Step 2: (2^4 \times 5^2=16 \times 25=400), and it has no factor (3). Step 3: Check the exponent of every prime before choosing.

Tags

real-numbersprime-factorisationexponentsexpert

Frequently asked questions

What is the correct answer to this question?

400

Why is this the correct answer?

Step 1: The condition requires (2^4 \times 5^2). Step 2: (2^4 \times 5^2=16 \times 25=400), and it has no factor (3). Step 3: Check the exponent of every prime before choosing.

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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