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If the HCF of two numbers is (12) and their LCM is (180), what is the prime factorised form of their product?
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Answer and explanation
Correct answer: (2^4\times3^3\times5)
Step 1: Product of two numbers (=) HCF (\times) LCM. Step 2: (12=2^2\times3) and (180=2^2\times3^2\times5), so the product is (2^4\times3^3\times5). Step 3: Convert given numbers to prime form before multiplying.
Frequently asked questions
What is the correct answer to this question?
(2^4\times3^3\times5)
Why is this the correct answer?
Step 1: Product of two numbers (=) HCF (\times) LCM. Step 2: (12=2^2\times3) and (180=2^2\times3^2\times5), so the product is (2^4\times3^3\times5). Step 3: Convert given numbers to prime form before multiplying.
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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