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Subjects
Class 10MathematicsReal NumbersFundamental Theorem of ArithmeticHardLevel 4
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If the HCF of two numbers is 30 and their LCM is 2310, what is the power of 11 in their product?

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Answer and explanation

Correct answer: 1

Step 1: The product is (30\times2310). Step 2: 30 has no factor 11 and (2310=2\times3\times5\times7\times11). Step 3: Therefore, the power of 11 in the product is (0+1=1).

Related tags

Hcf-Lcm-RelationPowersHard

Frequently asked questions

What is the correct answer to this question?

1

Why is this the correct answer?

Step 1: The product is (30\times2310). Step 2: 30 has no factor 11 and (2310=2\times3\times5\times7\times11). Step 3: Therefore, the power of 11 in the product is (0+1=1).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Fundamental Theorem of Arithmetic.

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