answersLogoWhite

0


Best Answer

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.

User Avatar

Wiki User

โˆ™ 2012-09-25 06:16:26
This answer is:
User Avatar
Study guides

Algebra

20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

โžก๏ธ
See all cards
3.8
โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…
1979 Reviews

Add your answer:

Earn +20 pts
Q: Is it true or false that a number is divisible by 6 if and only if it is divisible by 3?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

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 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.


True or False A common multiple of two numbers is always divisible by both the number?

True


Is this biconditional statement true A number is divisible by 6 if and only if it is divisible by 3?

How can the following definition be written correctly as a biconditional statement? An odd integer is an integer that is not divisible by two. (A+ answer) An integer is odd if and only if it is not divisible by two


Is all odd numbers greater than three are prime true or false?

False. An enormous number of them are divisible by three.


681 is divisible by 10 false true?

true


Is it true or false that if a number ends with 0 it will never be divisible by 8?

False, 40 and 80 are examples of numbers ending in 0 and yet evenly divisible by 8


91 is a prime number true or false?

91 x 1 = 91. 13 x 7 = 91. Prime numbers are only divisible by themselves & 1. False 91 is not a prime number.


is this biconditional true or falseA number is even if and only if it is divisible by 2.?

true


Is it true or false that 58462 is divisible by 2?

the answer is no...............................


Is 63279 divisible by 9 true or false?

True. The result is 7,031.


What is the converse of the contrapositive of a statement?

Look at the statement If 9 is an odd number, then 9 is divisible by 2. The first part is true and second part is false so logically the statement is false. The contrapositive is: If 9 is not divisible by 2, then 9 is not an odd number. The first part is true, the second part is false so the statement is true. Now the converse of the contrapositive If 9 is not an odd number, then 9 is not divisible by two. The first part is false and the second part is true so it is false. The original statement is if p then q,the contrapositive is if not q then not p and the converse of that is if not p then not q

People also asked