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If a number has prime factorisation (2^3 \times 3^2), by which number must it be divisible?
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Answer and explanation
Correct answer: 72
Step 1: For a divisor, its prime exponents must not exceed the available exponents. Step 2: (72=2^3 \times 3^2), which is fully present in the given number. Step 3: To test divisibility, match each prime exponent separately.
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What is the correct answer to this question?
72
Why is this the correct answer?
Step 1: For a divisor, its prime exponents must not exceed the available exponents. Step 2: (72=2^3 \times 3^2), which is fully present in the given number. Step 3: To test 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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