In the prime factorisation of (144), what is the sum of the exponents of (2) and (3)?
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Answer and explanation
Correct answer: 6
Step 1: (144=12^2). Step 2: Since (12=2^2 \times 3), (144=2^4 \times 3^2); the sum is (4+2=6). Step 3: When squaring a number, its prime exponents double.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
Step 1: (144=12^2). Step 2: Since (12=2^2 \times 3), (144=2^4 \times 3^2); the sum is (4+2=6). Step 3: When squaring a number, its prime exponents double.
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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