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ConceptFundamental Theorem of Arithmetic

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#### Question

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

#### Solution

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#### Similar questions VIEW ALL

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

Express each number as a product of its prime factors:

(i) 140

(ii) 156

(iii) 3825

(iv) 5005

(v) 7429

Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.

Given that HCF (306, 657) = 9, find LCM (306, 657).

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

(i) 12, 15 and 21

(ii) 17, 23 and 29

(iii) 8, 9 and 25

#### Reference Material

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