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# Is 5,676,882 divisible by 6 ?

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Is 5,676,882 divisible by 6 ?

Guest Feb 20, 2017

#2
+186
+10

well, to work out if 5,676,882 is divisible by 6 then it has to be divisible by 2 and 3, because 2x3=6. we know it is divisible by 2 because it ends in a two. so now we have to know if it is divisible by 3. to do this, we add up all the digits, then if the answer is bigger than 9, we add those digits together again, rinse and repeat, until you get a one digit number. if that 1 digit number is 3,6 or 9, then the whole number is divisible by 3.

5+6+7+6+8+8+2=42

4+2=6

6 is divisible by three. therefore 5,676,882 is divisible by 3.

since it is divisible by 2 and 3, then it is also divisible by six.

so, 5,676,882 is divisible by 6.

Scruffy23.  Feb 20, 2017
edited by Scruffy23.  Feb 20, 2017
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#1
+278
+5

We need to look at the first 3 numbers. (882)

882 is divisible by 6.

(882/6 = 147)

Therefore 5,676,882 is divisible by 6.

(5,676,882/6 = 946,147)

It must be a whole numebr when divided by the way. ;)

Jelly  Feb 20, 2017
#2
+186
+10

well, to work out if 5,676,882 is divisible by 6 then it has to be divisible by 2 and 3, because 2x3=6. we know it is divisible by 2 because it ends in a two. so now we have to know if it is divisible by 3. to do this, we add up all the digits, then if the answer is bigger than 9, we add those digits together again, rinse and repeat, until you get a one digit number. if that 1 digit number is 3,6 or 9, then the whole number is divisible by 3.

5+6+7+6+8+8+2=42

4+2=6

6 is divisible by three. therefore 5,676,882 is divisible by 3.

since it is divisible by 2 and 3, then it is also divisible by six.

so, 5,676,882 is divisible by 6.

Scruffy23.  Feb 20, 2017
edited by Scruffy23.  Feb 20, 2017
#3
+75293
0

If the integer is even and the sum of its digits is divsible by 3, then it is divisible by 6.....so...

5+6+7+6+8+8+2  =  42

And 42 is divisible by 3  and 5,676,882 is even...so....it is divisible by 6

CPhill  Feb 20, 2017
#4
+186
+5

that's pretty much a shorter version of what i did lol

Scruffy23.  Feb 20, 2017

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