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Divisibility Rules for Common Divisors
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Grade 5
5.27 Divisibility Rules for Common Divisors
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A pet shelter is preparing bowls. They are making identical packs. Without dividing, decide whether 2,181,408 is divisible by 3. Choose the statement that best justifies your answer.
A
Add the digits to get 26. Since 26 is a multiple of 3, 2,181,408 is divisible by 3. (Digit-sum rule.)
B
Add the digits: 24 is a multiple of 3, so 2,181,408 is divisible by 3. Check: 2,181,408 = 2,181,000 + 408; 2,181,000 is divisible by 3 because it has 2181 thousands and 2181 is a multiple of 3, and 408 is also divisible by 3.
C
The ones digit is 8. Since 8 is not a multiple of 3, 2,181,408 is divisible by 3. (Ones-place rule.)
D
Look at the last two digits: 17. Since 17 is a multiple of 3, 2,181,408 is divisible by 3. (Last-two-digits rule.)
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