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In order to tell whether a number is a multiple of 3:

  1. Start with a number N.
  2. Sum the digits of the number, and get M.
  3. If M is larger than 10, set N=M and return to stage 2.
  4. Otherwise, M is now smaller than 10. If M is 0,3,6 or 9, then N is a multiple of 3

A few examples:

924 => 15 => 6, therefore 924 is a multiple of 3.

974 => 20 => 2, therefore 974 is not a multiple of 3.

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Q: How do you tell if a number is a multiple of 3?
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Related questions

Can you tell whether a number is a multiple of 3 by looking at its last digit?

No. However, one you you can tell is that the digits of a multiple of 3 always add up to another multiple of 3.


How can you tell before you divide by 3 if there will be a remainder?

If the digits of the number you're dividing by 3 add up to a multiple of 3, the whole number is divisible by 3 and there will be no remainder. If they don't add up to a multiple of 3, there will be a remainder.


Which divisibility rule would you apply to tell whether a number is divisible by 3?

If the sum of the digits is a multiple of 3, the whole number is divisible by 3.


What is a trick for the number 3?

I'm not sure what would be a trick for the number 3. I will presume you would mean the way to tell if a number is a multiple of 3. A number is a multiple of 3 if the sum of its digits is also a multiple of 3. For example 585 is a multiple of 3 since' 5+8+5 = 18 which is a multiple of 3. The number 47 is not a multiple of 3 because 4+7 equals 11 and that is not a multiple of 3. There is a second digit that has a similar rule for multiplicity. That digit is 9, which just happens to equal 32 . In fact, since 18 is a multiple of 9, 585 must be a multiple of 9 also.


What is the least common multiple of 3 and?

It would help to have that other number. If the other number is a multiple of 3, the LCM is that number. If it is not a multiple of 3, the LCM is 3 times that number.


How can you tell that 189 is divisible by 3 without doing the division?

Add up the digits in a number, and if that sum is a multiple of 3, then the original number is also a multiple of 3. So 1 + 8 + 9 = 18, which if you're still not sure then 1+8=9, which is a multiple of 3. You can repetitively sum the digits until you have a result of a single digit number. If the single digit result is 3,6 or 9, then the original number is a multiple of 3. Also, if the single digit number is 9, then the number is also a multiple of 9. However, if the result is 6, then it is not necessarily a multiple of six.


How can you tell if a number is a multiple of 5?

You can tell if the number ends in either 5 or 0


Is 7965 a multiple of 3?

yes, it is. A very easy way to tell if a number is a multiple of 3 or not, is to add up the digits of the number and see if you can divide it by 3 evenly or not. So 7965, 7+9+6+5 = 27, and 27 divided by 3 is 9..... =)


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 4339 divisible by 3?

No. To find if a number is a factor of 3, add the number's digits. If the resulting number is a multiple of 3, then the original number is a multiple of 3. In 4339, the digits of the number added together is 19, which is not a multiple of 3.


What number is divisible by 6 but not 3?

A number that is divisible by 6 but not by 3 must be a multiple of 6 that is not a multiple of 3. Since 6 is a multiple of 3 (6 = 2 * 3), any multiple of 6 will also be a multiple of 3. Therefore, there is no number that is divisible by 6 but not by 3.


How do you decide if a two digit number is a multiple of a one-digit number?

If the number is even, it is a multiple of 2 If the sum of the digits make a number divisible by 3, the number is a multiple of 3 If the number ends in 5 or 0, the number is a multiple of 5 If the number is divisible by 2 and 3, the number is a multiple of 6 If the sum of the digits make a number divisible by 9, the number is a multiple of 9