If a number is divisible by 3 it must be divisible by 9. (True/False)

Academic Mathematics NCERT Class 6

This statement is false. Consider some numbers which are divisible by 3:

12, 15 and 24

All these four numbers are perfectly divisible by 3 but not by 9. So the statement is false.

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Updated on: 10-Oct-2022

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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.
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