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Subjects
Class 10MathematicsReal NumbersFundamental Theorem of ArithmeticHardLevel 6
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If the HCF of two numbers is 66 and their LCM is 30030, what is the power of 13 in their product?

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Answer and explanation

Correct answer: 1

Step 1: The product is (66\times30030). Step 2: 66 has no factor 13 and (30030=2\times3\times5\times7\times11\times13). Step 3: Therefore, the power of 13 in the product is (0+1=1).

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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 (66\times30030). Step 2: 66 has no factor 13 and (30030=2\times3\times5\times7\times11\times13). Step 3: Therefore, the power of 13 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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