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What is the prime factorisation of (400)?
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Answer and explanation
Correct answer: (2^4 \times 5^2)
Step 1: Write (400=4 \times 100). Step 2: (4=2^2) and (100=2^2 \times 5^2), so (400=2^4 \times 5^2). Step 3: (4) is not prime, so final factorisation must use only prime bases.
Frequently asked questions
What is the correct answer to this question?
(2^4 \times 5^2)
Why is this the correct answer?
Step 1: Write (400=4 \times 100). Step 2: (4=2^2) and (100=2^2 \times 5^2), so (400=2^4 \times 5^2). Step 3: (4) is not prime, so final factorisation must use only prime bases.
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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