What is the exponent of (3) in the prime factorisation of (180)?
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Answer and explanation
Correct answer: 2
Step 1: Write (180=18 \times 10). Step 2: (18=2 \times 3^2) and (10=2 \times 5), so (180=2^2 \times 3^2 \times 5). Step 3: Focus on the required exponent instead of memorising the whole number.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
Step 1: Write (180=18 \times 10). Step 2: (18=2 \times 3^2) and (10=2 \times 5), so (180=2^2 \times 3^2 \times 5). Step 3: Focus on the required exponent instead of memorising the whole number.
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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