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Answers
1. Find the common factors of:
(i) 15 and 25 (ii) 35 and 50 (iii) 20 and 28
answer
(i) common factor of 15 and 25 is 5
(ii)common factor of 35 and 50 is 5
(iii) common factor of 20 and 28 is 4.
2. Find the common factors of:
(i) 5, 15 and 25 (ii) 2, 6 and 8
answer
(i) 5
(II) 2
3. Find first three common multiples of 6 and 8.
answer
6, 12, 18, 24, 30, 36, 42, 48, 54, 60 Hence, the first three common multiples of 6 and 8 are 24, 48 and 72.
4. Find first two common multiples of 12 and 18.
answer
18, 36, 54, 72, 90, 108, 126, 144, 162, 180 ¦. Hence, the first two common multiples of 12 and 18 are 36 and 72.
5. A number is divisible by both 7 and 16. By which other number will that number be always
divisible ?
So, the number will be divisible by the common factor of 7 and 16. The factors of 7 are 1 and 7. The factors of 16 are 1, 2, 4, 8, and 16. Therefore, the common factor of 7 and 16 is 1 and the number is divisible by 1.
6. A number is divisible by 24. By what other numbers will that number be divisible?
Hence a number will be divisible by 24 if and only if it is divisible by both 8 and 3. Option a: 35718. Sum of digits = 3+5+7+1+8=24. Since 24 is divisible by 3.