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is this biconditional true or falseA number is even if and only if it is divisible by 2.?
true
What is always true about an even number?
It is always divisible by two.
Is it true or false that any number that is divisible by 6 is divisible by 2?
True. Since 6 is divisible by 2, any number that is divisible by 6 will automatically be divisible by 2.
Is it true that some numbers divisible by 5 are odd numbers?
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.
A number is divisible by 6 if and only if it is divisible by 3?
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.
Is the only even prime number is 2 t or f?
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.
Is it true that a number divisible by six is also divisible by three?
Yes
Is this fact true A whole number is divisible by 3 if the sum of its digits is divisible by 3?
True fact.
What is a number n where if the sum of the digits of the number is divisible by n, then the number itself is divisible by n?
(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.
Is it true or false that a number is divisible by 6 if and only if it is divisible by 3?
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.
Are all even numbers which are divisible by 4 divisible by 8?
No. The reverse is true, but 12 is divisible by 4 and not by 8.
If a number is is divisible by 2 and 3 is it also divisible by 6?
Yes, that is true.
