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The sum of the digits of a multiple of 3 sum to a number that is itself divisible by 3.

Example : 153 : 1 + 5 + 3 = 9 which is divisible by 3 so 153 is a multiple of 3.

But : 206 : 2 + 0 + 6 = 8 shows that 206 is NOT a multiple of 3.

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Q: What is so special about the multiple of 3?
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Is 200 a multiple of 15?

No.15 = 3 x 5So for 200 to be a multiple of 15, it must be a multiple of both 3 and 5:2 + 0 + 0 = 2 which is not a multiple of 3 so 200 is not a multiple of 3.200 ends in 0, so it is a multiple of 5.Thus 200 is a multiple of 5, but not a multiple of 3; so it is not a multiple of 15.


Is 261 a multiple of 3?

Yes. Digit total is 9 which is a multiple of 3 so it is too.


Is 92 a multiple of 3?

No, 92 is not a multiple of 3. A quick way to check if a number is a multiple of 3 is: add up the digits of the number you are checking; if this sum equals 3 or a multiple of 3, then the number is a multiple of 3. So in this case, 92 --> 9+2=11, which is not a multiple of 3. If you have to you can add again, so for 11 --> 1+1=2, which is not a multiple of 3. You can always repetitively add until you get to a single digit answer: if it's 3,6 or 9 then it's a multiple of 3. Also if your sum is 9 or a multiple of 9, then the original number is a multiple of 9. To check for 6, if a number is a multiple of 3, and also a multiple of 2 (an even number), then the number is a multiple of 6.


Is three a multiple of seventy-eight?

To determine whether 3 is a multiple of 78, divide 78 by 3. You should get 78 / 3 = 26. So 3 is a multiple of 78. Another way to work out this problem is to add up the digits of 78. 7 + 8 = 15, which is divisible by 3. So 3 is a multiple of 78.


What is the product of the 3rd multiple of 3 and the fourth multiple of 4?

The third multiple of 3 is 9 and the fourth multiple of 4 is 16. So 9 multiplied by 16 is 144.

Related questions

Is 200 a multiple of 15?

No.15 = 3 x 5So for 200 to be a multiple of 15, it must be a multiple of both 3 and 5:2 + 0 + 0 = 2 which is not a multiple of 3 so 200 is not a multiple of 3.200 ends in 0, so it is a multiple of 5.Thus 200 is a multiple of 5, but not a multiple of 3; so it is not a multiple of 15.


Is 86 a multiple of 3?

no because 86/3=2.666666 so it is not a multiple of 3


Is 15 a common multiple of 3 and 5 if so how?

15 is a multiple of 3. 15 is a multiple of 5. That makes it a common multiple of 3 and 5.


Is 1 a multiple of 3?

No, one is a factor of 3. A multiple is anything that can be divided by 3 such as 9 which is a multiple of 3 and so is 12 Think of taking the number 3 and multiplying it by 1,2,3,4,5... So the multiples of 3 are 3,6,9,12, 15,...


Is 3 a multiple of 3?

3,6,9 keep on going. As you can see, the numbers starts from 3 so 3 is a multiple of 3.


Is 261 a multiple of 3?

Yes. Digit total is 9 which is a multiple of 3 so it is too.


Is 28 a multiple of 3?

No, 28 could not be a multiple of 3.No. 28 divided by three is not a whole number, so it is not a multiple of three.


Is 92 a multiple of 3?

No, 92 is not a multiple of 3. A quick way to check if a number is a multiple of 3 is: add up the digits of the number you are checking; if this sum equals 3 or a multiple of 3, then the number is a multiple of 3. So in this case, 92 --> 9+2=11, which is not a multiple of 3. If you have to you can add again, so for 11 --> 1+1=2, which is not a multiple of 3. You can always repetitively add until you get to a single digit answer: if it's 3,6 or 9 then it's a multiple of 3. Also if your sum is 9 or a multiple of 9, then the original number is a multiple of 9. To check for 6, if a number is a multiple of 3, and also a multiple of 2 (an even number), then the number is a multiple of 6.


Is three a multiple of seventy-eight?

To determine whether 3 is a multiple of 78, divide 78 by 3. You should get 78 / 3 = 26. So 3 is a multiple of 78. Another way to work out this problem is to add up the digits of 78. 7 + 8 = 15, which is divisible by 3. So 3 is a multiple of 78.


Is three a multiple of one or is it a multiple of three?

No, 3 isn't a multiple of 6 because the first multiple of 6 is 6. 3 is a factor of 6. 6 is a multiple of 3.


Is 297 divisible by 3?

Yes, the quotient is 99 when you divide by three, but to check for divisibility (by 3 or 9), do this: If the sum of the digits is a multiple of 3 [9], then the number is a multiple of 3 [9]. This only works for 3 and 9. So for 297: 2+9+7 = 18, which is a multiple of 9 and 3, so it is a multiple of 3 (and a multiple of 9, as well; though the question didn't ask for that).


Will the numbers 100 appear in the 3 times table why or why not?

it will not since it is not a multiple of 3. 99 is a multiple of three so the next multiple would be 102.