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How do you know that the number is divisible by 3?

Updated: 8/17/2019
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15y ago

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add up all the individual digits in the number. if the answer has more than one digit, add the digits of the answer up. keep doing this till you get a single number. if the answer is 3, 6 or 9 the number is divisible by 3.

eg 477

4 + 7 + 7 = 18

1 + 8 = 9

answer is 9, so 477 is divisible by 3

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Q: How do you know that the number is divisible by 3?
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How do you know a number is divisible by 6?

the number will also be divisible by 3 and 2


How do you know that a number is divisible by 15?

A number that is divisible by 15 is divisible both by 5 and 3 A number is divisible by 5 if it ends with 0 or 5 A number is divisible by 3 if the sum of its digits is divisible by 3 e.g. 4035 is divisible by 15 as it ends with a 5 and 4+0+3+5=12 which is divisible by 3


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No, 3 is not a factor of 47. A quick way to know that is to add the digits in the number. If they add up to a number that is divisible by 3, the number itself is divisible by 3. If they don't, the number is not divisible by 3.


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How do you know if 3 goes into a number?

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If a number is even, it's divisible by two. If the digits of a number add up to a multiple of 3, it's a multiple of 3. For example, 342 is divisible by 3 because 3 + 4 + 2 = 9 and 9 is divisible by 3.


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What is the converse inverse and contrapositive If every digit of a number is divisible by 3 then the number is divisible by 3?

Converse:If a number is divisible by 3, then every number of a digit is divisible by three. Inverse: If every digit of a number is not divisible by 3 then the number is not divisible by 3? Contrapositive:If a number is not divisible by 3, then every number of a digit is not divisible by three.


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The way to know if a number is divisible by 3 is if its digit sum adds up to a number that is divisible by 3 (3, 6 or 9). The way to know if a number is divisible by 2 is if that number is even. That is, a number is divisible by two if the units are 0, 2, 4, 6 or 8. A number is divisible by 6 if it meets both these rules. In this case, 402 has the digit sum 6, and the units value is 2. Therefore, we can say that 402 is divisible by 6.


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