Without dividing, determine if 45,678 is divisible by 3 and explain how you know.
Answer Attempt 2 out of 2
divisible by 3
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To determine if 45,678 is divisible by 3, you can use a simple rule: just add the digits together! In this case, let’s add 4 + 5 + 6 + 7 + 8, which equals 30. Since 30 is divisible by 3 (as 30 ÷ 3 = 10), it follows that 45,678 is also divisible by 3.

This trick works because 3 is a factor of any number formed by its digits. So, if the sum of the digits can be divided by 3 without leaving a remainder, then the original number will also be divisible by 3. It’s a neat shortcut that keeps you from pulling out a calculator!