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Answer:
1 } a) every multiple of a given no. is greater than or equal to that number. eg multiple of 2 that are 2,4,6, where 2 is equal to 2 and 4,6.... are greater to 2.
b} 2 . The smallest prime numbers are 2, 3, 5, 7, 11, 13, 17, 19 and 23. The number 2 is the only even prime number.
c} Factors of 10 = 1, 2, 5 and 10. Therefore, common factor of 15 and 10 = 1 and 5. Highest common factor (H.C.F) of 15 and 10 = 5.
d} First three multiples of 11 are 11,22,33 .
e} 1 , The HCF of two coprime numbers is always 1 . For example: 5 and 9 are coprime numbers and hence, HCF (5,9)=1 ( 5 , 9 ) = 1 .
f}The LCM of two coprime numbers is always their product. For example: 5 and 9 are coprime numbers. Hence, LCM (5,9)=45 ( 5 , 9 ) = 45 .
g} factors and multiples are also divisible by that number.
h} The prime factors of 6 are 2 and 3. So for a number to be divisible by 6, it must also be divisible by 2 and 3. Therefore, we need to check if a number is even and then check if the sum of the digits is divisible by 3. ... So this number is not divisible by 3.
i}The factors of 44 are 44, 22, 11, 4, 2, 1. The common factors of 11 and 44 are 11, 1, intersecting the two sets above. In the intersection factors of 11 ∩ factors of 44 the greatest element is 11. Therefore, the greatest common factor of 11 and 44 is 11.
j} odd number
k} even number
l} first two multiples of 8 are 8,16.24
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