Asked by Lisa
fill in the missing digits in as many ways as
possible so the number will be divisible by 6.
3_2_
possible so the number will be divisible by 6.
3_2_
Answers
Answered by
Reiny
A number is divisible by 6 if it is divisible by 2 AND by 3
Clearly since the above number is even, it is divisible by 2, so all we have to worry about is the 3
A number is divisible by 3 if the sum of its digits is divisible by 3.
So far we have a sum of 5.
So adding 1 or 4 or 7 would leave the sum divisible by 3
so the missing digits could be 1, 4, or 7
(numbers are 312, 342, or 372, check to see if they divide by 6)
Clearly since the above number is even, it is divisible by 2, so all we have to worry about is the 3
A number is divisible by 3 if the sum of its digits is divisible by 3.
So far we have a sum of 5.
So adding 1 or 4 or 7 would leave the sum divisible by 3
so the missing digits could be 1, 4, or 7
(numbers are 312, 342, or 372, check to see if they divide by 6)
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