# Solution - Fundamental Theorem of Arithmetic

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ConceptFundamental Theorem of Arithmetic

#### Question

Consider the number 6n where n is a natural number. Check whether there is any value of n ∈ N for which 6n is divisible by 7.

#### Solution

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Check whether 6n can end with the digit 0 for any natural number n.

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Express each number as a product of its prime factors:

(i) 140

(ii) 156

(iii) 3825

(iv) 5005

(v) 7429

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Find the LCM and HCF of the following integers by applying the prime factorisation method

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(ii) 17, 23 and 29

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#### Reference Material

Solution for concept: Fundamental Theorem of Arithmetic. For the course 8th-10th CBSE
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