Determine if the following number is divisible by 6:
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Determine if the following number is divisible by 6:
To determine if 681 is divisible by 6, we need to apply the divisibility rules for both 2 and 3:
Since 681 is not divisible by 2, even though it is divisible by 3, we conclude that 681 is not divisible by 6.
Therefore, the solution to the problem is No.
No
Will a number divisible by 6 necessarily be divisible by 3?
Because 6 = 2 × 3, a number must be divisible by both prime factors. If it fails either test, it cannot be divisible by 6. Both conditions are required!
Then it's not divisible by 6! Like 681: it's divisible by 3 but not by 2, so the answer is No. You need both conditions to be true.
No reliable shortcut exists. You must check both the divisibility by 2 rule (even last digit) and the divisibility by 3 rule (sum of digits divisible by 3).
No, never! All numbers divisible by 6 must be divisible by 2, which means they must be even. Odd numbers like 681 cannot be divisible by 6.
Add up all the digits in the number. If this sum is divisible by 3, then the original number is too! For 681: , and 15 ÷ 3 = 5, so 681 is divisible by 3.
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