If a number is even (divisible by 2) and divisible by 3, then it must also be divisible by 6.
The true biconditional statement that can be formed is: "A number is even if and only if it is divisible by 2." This statement combines both the original conditional ("If a number is divisible by 2, then it is even") and its converse ("If a number is even, then it is divisible by 2"), establishing that the two conditions are equivalent.
true
True. Since 6 is divisible by 2, any number that is divisible by 6 will automatically be divisible by 2.
(The assumes that "the number" in the question is not n, although if they are they same number, this is still true.) "If the sum of the digits of the number is divisible by n, then the number itself is divisible by n" is true if n is 3 or if n is 9.
False. The question consists of two parts: - a number is divisible by 6 if it is divisible by 3? False. It must also be divisible by 2. - a number is divisible by 6 only if it is divisible by 3? This is true but the false part makes the whole statement false.
true
It is always divisible by two.
True. Since 6 is divisible by 2, any number that is divisible by 6 will automatically be divisible by 2.
50% of numbers divisible by 5 are even, the other 50% are odd. If the single's digit of a number is 5, then the number is divisible by 5 and odd. For example, 25. However, if the single's digit of a number is 0, then the number is divisible by 5 and even. For example, 20.
Yes, it is true that 2 is the only even prime number. All even numbers are evenly divisible by 2 (that is the definition of an even number). The number 2 is also divisible by 2, however, prime numbers, like all numbers, are evenly divisible by themselves, so that does not disqualify 2 from being a prime number.
If this is a T-F question, the answer is false. It is true that if a number is divisible by 6, it also divisible by 3. This is true because 6 is divisible by 3. However, the converse -- If a number is divisible by 3, it is divisible by 6, is false. A counterexample is 15. 15 is divisible by 3, but not by 6. It becomes clearer if you split the question into its two parts. A number is divisible by 6 if it is divisible by 3? False. It must also be divisible by 2. A number is divisible by 6 only if it is divisible by 3? True.
This statement is not always true. While it is true that if a number is divisible by 4, it is also divisible by 2, the reverse is not necessarily true. For example, the number 6 is divisible by 2 but not by 4. In general, being divisible by 2 is a necessary but not a sufficient condition for being divisible by 4.
Yes
True fact.
(The assumes that "the number" in the question is not n, although if they are they same number, this is still true.) "If the sum of the digits of the number is divisible by n, then the number itself is divisible by n" is true if n is 3 or if n is 9.
False. The question consists of two parts: - a number is divisible by 6 if it is divisible by 3? False. It must also be divisible by 2. - a number is divisible by 6 only if it is divisible by 3? This is true but the false part makes the whole statement false.
No. The reverse is true, but 12 is divisible by 4 and not by 8.