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Divisibility Rules Practice

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Divisibility Rules Practice

Mathematical detective with magnifying glass examining numbers

🔍 Part 1: Divisibility Detective - Multiple Choice

1. Which number is divisible by 2?

347

562

129

483

2. To test if 234 is divisible by 3, what do you need to do?

Check if the last digit is 3

Add up all the digits: 2+3+4

Check if it ends in 0

Divide by 3

3. Which numbers are divisible by 5? (Tick all that apply)

145

230

127

385

4. Is 4,620 divisible by 10?

Yes, because it ends in 0

No, because it's too large

Yes, because it's even

No, because it has 4 digits

✏️ Part 2: Apply the Rules

5. Test if 456 is divisible by 3. Show your working:

Add the digits: _____ + _____ + _____ = _____

Is this sum divisible by 3? _____________

Therefore, 456 is _____________ by 3.

6. Complete the divisibility check for 341 ÷ 11:

Sum of digits in odd places (1st, 3rd): _____ + _____ = _____

Sum of digits in even places (2nd): _____

Difference: _____ - _____ = _____

Is 341 divisible by 11? _____________

7. Circle the correct divisibility rules that apply to the number 1,350:

Divisible by 2

Divisible by 3

Divisible by 5

Divisible by 10

🎯 Part 3: Problem Solving

8. Sarah has 144 sweets to share equally amongst her friends. Without dividing, use divisibility rules to determine which group sizes would work perfectly (no sweets left over):

Groups of 2? _____ (Explain: _________________________)

Groups of 3? _____ (Explain: _________________________)

Groups of 5? _____ (Explain: _________________________)

9. Create your own 3-digit number that is divisible by both 2 and 5:

Explain why your number works: ________________________________

10. Challenge: Find a 4-digit number that is divisible by 2, 3, and 10:

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