Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer.
Let a be any odd positive integer and b = 6. Let q be a quotient and r be remainder.
Therefore, applying division lemma, we have 
Express each number as a product of its prime factors: (v) 7429
Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (i) 26 and 91
Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (ii) 510 and 92
Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (iii) 336 and 54
Find the LCM and HCF of the following integers by applying the prime factorisation method. (i) 12, 15 and 21
Find the LCM and HCF of the following integers by applying the prime factorisation method. (ii) 17, 23 and 29
Find the LCM and HCF of the following integers by applying the prime factorisation method. (iii) 8, 9 and 25
Check whether 6n can end with the digit 0 for any natural number n
Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.
Mock Test Series
