What is the exponent of (2) in the prime factorisation of (1080)?
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Answer and explanation
Correct answer: 3
Step 1: Write (1080=108 \times 10). Step 2: (108=2^2 \times 3^3) and (10=2 \times 5), so (1080=2^3 \times 3^3 \times 5). The exponent of (2) is (3). Step 3: Repeated division by (2) is also useful for finding this exponent.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
Step 1: Write (1080=108 \times 10). Step 2: (108=2^2 \times 3^3) and (10=2 \times 5), so (1080=2^3 \times 3^3 \times 5). The exponent of (2) is (3). Step 3: Repeated division by (2) is also useful for finding this exponent.
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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