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Class 10MathematicsReal NumbersFundamental Theorem of ArithmeticExpertLevel 5
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If the HCF of two numbers is 143 and their LCM is 510510, what is the power of 13 in their product?

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Answer and explanation

Correct answer: 2

Step 1: The product is (143\times510510). Step 2: (143=11\times13), and 510510 has 13 to power 1. Step 3: Therefore, the power of 13 in the product is (1+1=2).

Related tags

Hcf-Lcm-RelationPowersExpert

Frequently asked questions

What is the correct answer to this question?

2

Why is this the correct answer?

Step 1: The product is (143\times510510). Step 2: (143=11\times13), and 510510 has 13 to power 1. Step 3: Therefore, the power of 13 in the product is (1+1=2).

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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