A number is divisible by both 4 and 9 . By which other number will that number be always divisible?

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Solution

LCM of 4 and 9 = 36 is the smallest number that can be divisible by 4 and 9

Now 36=136
36= 218
36 = 312
36 = 49
36= 6*6

Hence Factors of 36 are 2, 3, 4, 6, 9, 12, 18, 36

Ans. 2, 3,4,6,9,12,18,36

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Q. Which of the following statements are true?

(i) If a number is divisible by 3, it must be divisible by 9.
(ii) If a number is divisible by 9, it must be divisible by 3.
(iii) If a number is divisible by 4, it must be divisible by 8.
(iv) If a number is divisible by 8, it must be divisible by 4.
(v) A number is divisible by 18, if it is divisible by both 3 and 6.
(vi) If a number is divisible by both 9 and 10, it must be divisible by 90.
(vii) If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately.
(viii) If a number divides three numbers exactly, it must divide their sum exactly.
(ix) If two numbers are co-prime, at least one of them must be a prime number
(x) The sum of two consecutive odd numbers is always divisible by 4.

Which of the following statements are true ?
(i) If a number is divisible by 3, it must be divisible by 9.
(ii) If a number is divisible by 9, it must be divisible by 3.
(iii) If a number is divisible by 4, it must be divisible by 8.
(iv) If a number is divisible by 8, it must be divisible by 4.
(v) A number is divisible by 18, if it is divisible by both 3 and 6.
(vi) If a number is bivisible by both 9 and 10, ut nyst be divisible by 90.
(vii) If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately.
(viii) If a number divides three numbers exactly, it must divede their sum exactly.
(ix) If two numbers are co-prime , at least one of them must be a prime number.
(x) The sum of two consecutive odd numbers is always divisible by 4.

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A number is divisible by both 4 and 9 . By which other number will that number be always divisible?

LCM of 4 and 9 = 36 is the smallest number that can be divisible by 4 and 9 Now 36=1*36 36= 2*18 36 = 3*12 36 = 4*9 36= 6*6 Hence Factors of 36 are 2, 3, 4, 6, 9, 12, 18, 36 Ans. 2, 3,4,6,9,12,18,36

LCM of 4 and 9 = 36 is the smallest number that can be divisible by 4 and 9

Now 36=136
36= 218
36 = 312
36 = 49
36= 6*6

Hence Factors of 36 are 2, 3, 4, 6, 9, 12, 18, 36

Ans. 2, 3,4,6,9,12,18,36