answersLogoWhite

0

True. A number that is divisible by both 3 and 4 is also divisible by their least common multiple, which is 12. Since 12 can be expressed as (3 \times 4), any number meeting the criteria of being divisible by both 3 and 4 will indeed be divisible by 12.

User Avatar

AnswerBot

10mo ago

What else can I help you with?

Continue Learning about Math & Arithmetic

If a number has 2 and 6 as factors then it has twelve as factors True or false and why?

False. Just because a number has 2 and 6 as factors does not necessarily mean it has 12 as a factor. For example, the number 6 has 2 and 6 as factors, but it does not have 12 as a factor. A number must be divisible by all factors to include a larger factor like 12, which requires it to be divisible by both 3 and 4.


Can a number be divisible by 6 and 12?

Absolutely - any number that is divisible by 12 - is also divisible by 6 !


Write a rule to determine when a number is divisible by 12?

A number is divisible by 12 if it is divisible by 3 AND it is divisible by 4. Rule 1a (Divisibility by 3): Add up all the digits of the number. Is this number divisible by 3? Rule 1b (Divisibility by 4): Is the number formed by the last two digits of the original number (the number left after deleting the hundreds, thousands, millions etc) divisible by 4? If the answer to 1a is NO, then the number is not divisible by 3 and so not divisible by 12. In this case, obviously, rule 1b is irrelevant. If the answer to 1b is NO, then the number is not divisible by 4 and so not divisible by 12. If the answer to both 1a and 1b is YES, then the number is divisible by 12.


If a number is divisble by 2 and 6 is it always divisible by 12?

No, a number that is divisible by 2 and 6 is not always divisible by 12. While being divisible by 6 implies it is also divisible by 2, it does not guarantee divisibility by 4, which is required for divisibility by 12. For example, the number 6 is divisible by both 2 and 6, but it is not divisible by 12.


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.

Related Questions

If a number has 2 and 6 as factors then it has twelve as factors True or false and why?

False. Just because a number has 2 and 6 as factors does not necessarily mean it has 12 as a factor. For example, the number 6 has 2 and 6 as factors, but it does not have 12 as a factor. A number must be divisible by all factors to include a larger factor like 12, which requires it to be divisible by both 3 and 4.


True or false Is 615 divisible by both 5 and 3?

True. Since 615 ends in 5, it is divisible by 5. Since the sum 12, of the digits of 615, is divisible evenly by 3, 615 is divisible by 3.


Can a number be divisible by 6 and 12?

Absolutely - any number that is divisible by 12 - is also divisible by 6 !


Is it true that a number is divisible by three if the sum of the number is three?

The rule of thumb is that if the sum of the digits of the number equals a number that is divisible by 3, then the number is divisible by 3.For example,372: 3+7+2 = 12, which is a multiple of 3 (3x4=12)So, 3 is a factor of 372(which is true, as 3 x 124 = 372).124: 1+2+4 = 7, which is not a multiple of 3So, 3 is not a factor of 124(which is true, as 124 is not evenly divisible by 3, 124/3 = 41.33333)


Write a rule to determine when a number is divisible by 12?

A number is divisible by 12 if it is divisible by 3 AND it is divisible by 4. Rule 1a (Divisibility by 3): Add up all the digits of the number. Is this number divisible by 3? Rule 1b (Divisibility by 4): Is the number formed by the last two digits of the original number (the number left after deleting the hundreds, thousands, millions etc) divisible by 4? If the answer to 1a is NO, then the number is not divisible by 3 and so not divisible by 12. In this case, obviously, rule 1b is irrelevant. If the answer to 1b is NO, then the number is not divisible by 4 and so not divisible by 12. If the answer to both 1a and 1b is YES, then the number is divisible by 12.


If a number is divisble by 2 and 6 is it always divisible by 12?

No, a number that is divisible by 2 and 6 is not always divisible by 12. While being divisible by 6 implies it is also divisible by 2, it does not guarantee divisibility by 4, which is required for divisibility by 12. For example, the number 6 is divisible by both 2 and 6, but it is not divisible by 12.


How can you tell if a number is divisible by 12?

If a number is divisible by both three and four, it's divisible by twelve.


Is 12 divisible by 336?

No. 12 cannot be divisible by any number bigger than 12.


How many numbers between 201 and 301 are divisible by both 3 and 4?

To be divisible by 3 and 4 the number must be divisible by 12. 201/12 = 16.75 so the smallest number in the range, divisible by 12, is 17*12 = 204 301/12 = 25.08 so the largest number in the range, divisible by 12, is 25*12 = 300 The number of multiples of 12 is 25 - 16 = 9


Is a number divisible by 12 is divisible by both 2 and 6?

Yes, because 12 is divisible by 2 and 6.


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.


What is a number that is divisible by 2 through 12?

Numbers that are divisible by 2 through the number 12 are: 4, 6, 8, 10 and 12.