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That the number is divisible by 4* and the sum of its digits is a multiple of 3.

*If the number has three of more digits then it is only necessary to look at the tens and units to determine if it is divisible by 4, as 4 is a factor of 100 and therefore of any multiple of 100.

Examples : 75 : is not divisible by 4 although its digits total 12 which is a multiple of 3.

132 : is divisible by 4 as 32 is divisible by 4, and its digits total 6 which is divisible by 3, then 132 is divisible by 12.

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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.


Example of divisibility rule for 21?

a number is divisible by 12 if the number is also divisible by both 3 and 7. You mean a number is divisible by 21 if it is divisible by 3 and 7.


Can a number be divisible by 6 and 12?

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


Determine if a number is divisible by 3?

Check the sum of the digits, if the sum divisible by 3 then the number is divisible by 3. Example 910: the sum of digits= 9 + 1 + 0 = 10, but 10 is not divisible by 3, so the number 910 is not divisible by 3. Example 2154: the sum of digits = 2 + 1 + 5 + 4 = 12, this sum is divisible by 3, so the number 2154 is divisible by 3. if the sum is long you can check the sum of the sum and apply the same rule. Example 52498731: the sum of digits = 5 + 2 + 4 + 9 + 8 + 7 + 3 + 1 = 39, the sum of the digits for 39 = 3 + 9 = 12, so the original number, i.e. 52498731 is divisible by 3.


True or false If a number is divisible by 3 and by 4 then it is divisible by 12?

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.

Related Questions

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.


Example of divisibility rule for 21?

a number is divisible by 12 if the number is also divisible by both 3 and 7. You mean a number is divisible by 21 if it is divisible by 3 and 7.


Is the number 129 prime or composite?

129 is divisible by 3. 1+2+9=12 and 12 is divisible by 3. That is the rule of divisibility by 3.


Is the first number divisible by the second?

To determine if the first number is divisible by the second, you need to divide the first number by the second number. If the division result is a whole number without a remainder, then the first number is divisible by the second. For example, if the first number is 12 and the second number is 3, when you divide 12 by 3, the result is 4, which is a whole number, indicating that 12 is divisible by 3.


Determine the greatest 3-digit number exactly divisible by 8 10and 12?

How about: 960


Is 756 divisible by 12?

Yes, 756 is divisible by 12. To determine if a number is divisible by 12, you can check if it is divisible by both 3 and 4 since 12 is the product of 3 and 4. In this case, the sum of the digits of 756 is 7+5+6=18, which is divisible by 3. Additionally, the last two digits of 756, which are 56, form a number that is divisible by 4. Therefore, 756 is divisible by 12.


Divisibility rule -divisible by 12?

If a number is divisible by 3, and also by 4, then it is divisible by 12 - so you might use the divisibility rules for those two numbers. Although it might be simpler just to perform the division.


Can a number be divisible by 6 and 12?

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


Is 1218 divisible by 3?

Yes, it is. Your answer is 406. You can determine whether a number is divisible by 3 by adding the digits. If the sum of the digits (in the above, 1+2+1+8 = 12) equals 3, the number is divisible by 3.


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.


Determine if a number is divisible by 3?

Check the sum of the digits, if the sum divisible by 3 then the number is divisible by 3. Example 910: the sum of digits= 9 + 1 + 0 = 10, but 10 is not divisible by 3, so the number 910 is not divisible by 3. Example 2154: the sum of digits = 2 + 1 + 5 + 4 = 12, this sum is divisible by 3, so the number 2154 is divisible by 3. if the sum is long you can check the sum of the sum and apply the same rule. Example 52498731: the sum of digits = 5 + 2 + 4 + 9 + 8 + 7 + 3 + 1 = 39, the sum of the digits for 39 = 3 + 9 = 12, so the original number, i.e. 52498731 is divisible by 3.


Is 12 divisible by 336?

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