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 the number 484 is divisible by 6, we must confirm that it satisfies both divisibility rules for 2 and 3:
Since 484 is not divisible by 3, even though it is divisible by 2, it cannot be divisible by 6. Therefore, 484 is not divisible by 6.
In conclusion, the answer to the problem is: No.
No
Determine if the following number is divisible by 3:
\( 352 \)
Because 6 = 2 × 3, and 2 and 3 are both prime numbers. For a number to be divisible by 6, it must have both 2 and 3 as factors, so both conditions must be met!
You can keep applying the rule! Since 16 has digits 1 + 6 = 7, and 7 is not divisible by 3, then 16 (and the original number) is not divisible by 3.
Absolutely! Many even numbers aren't divisible by 6. For example: 2, 4, 8, 10, 14, 16, 20, 22... They're all even but not all divisible by 3.
Unfortunately, no reliable shortcut exists. You must check both conditions separately: even last digit (for 2) and digit sum divisible by 3. Both must be true!
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