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If a number has prime factorisation (2^4 \times 3^3), by which number must it be divisible?
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Answer and explanation
Correct answer: 144
Step 1: A divisor's prime exponents must not exceed the given number's exponents. Step 2: (144=2^4 \times 3^2), which is fully contained in (2^4 \times 3^3). Step 3: For divisibility, match each prime exponent separately.
Frequently asked questions
What is the correct answer to this question?
144
Why is this the correct answer?
Step 1: A divisor's prime exponents must not exceed the given number's exponents. Step 2: (144=2^4 \times 3^2), which is fully contained in (2^4 \times 3^3). Step 3: For divisibility, match each prime exponent separately.
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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