Question

A number is a multiple of 4 and 18. Which of the following will definitely be factors of the number?
(I) all factors of 22
(ii) all factors of 36
(iii) all common factors of 4 and 18
only (III)
only (i) and (iii)
only (ii) and (iii)
all -(i), (ii) and (iii)

Answer 1

Only iii is correct
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Answer 2

The correct answer is only (ii) and (iii)

Given: A number is a multiple of 4 and 18

To find: Finding which of following will be factor of given number

(I) all factors of 22

(ii) all factors of 36

(iii) all common factors of 4 and 18

Solution: As we know product of 4 and 18 is 4 × 18 = 72  

Here 72 can be considered  as multiple of 4 and 18

36 is a factor of 72 and all factors of 36 will be the factors of 72

Since 72 is product of 4 and 18 then 4 and 18 are factors of 72    

Therefore, From given options

(ii) all factors of 36

(iii) all common factors of 4 and 18  are the correct answers

Therefore, correct answer is only (ii) and (iii)

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