Starter quiz
- Divisibility is a number’s ability to be:
- squared
- divided by another number
- exactly divided by another number, leaving no remainder ✓
- multiplied by another number
-
- A number is a multiple of 3 when the sum of its digits is divisible by ______
- '3' ✓
- Match each number with the correct statement.
- 478 374 378⇔is divisible by 2 and 3 ✓
- 989 890 484⇔is divisible by 2 ✓
- 113 890 291⇔is not divisible by 2 or 3 ✓
- 231 321⇔is divisible by 3 ✓
- Is the statement "all common multiples of 2 and 3 are even" sometimes true, always true or never true?
- Always true ✓
- Sometimes true
- Never true
-
- Is the statement "all common multiples of 3 and 7 are even" sometimes true, always true or never true?
- Always true
- Sometimes true ✓
- Never true
-
- The number 238 839 239 382.33 has a digit sum of 66. Sofia says it is a multiple of 3. Alex says it is also a multiple of 2. Andeep says it is not a multiple of 2 or 3. Who is correct?
- Sofia
- Alex
- Andeep ✓
- They are all incorrect.
-
Exit quiz
- All numbers that are divisible by 2 and divisible by 3 are also divisible by 1 and ______
- '6' ✓
- Which of these numbers is divisible by 6?
- 8992
- 9374
- 34 830 ✓
- 390 021
-
- Which of these numbers is divisible by 6?
- 51 370
- 51 372 ✓
- 51 374
- 51 376
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- Match the divisibility test with the correct summary.
- A divisibility test for 3 ...⇔states the sum of its digits is a multiple of 3 ✓
- A divisibility test for 2 ...⇔states the digits 0, 2, 4, 6 or 8 must be in the ones column ✓
- A divisibility test for 9 ...⇔states the sum of the digits is a multiple of 9 ✓
- Jun says 340 is a multiple of 6. Jacob says 312 is a multiple of 6. Lucas says 366 is a multiple of 6. Who is incorrect?
- All of them
- Jun ✓
- Jacob
- Lucas
-
- Which of the following is divisible by both 6 and 9?
- 328 204 901
- 367 982 200
- 422 893 903
- 820 082 808 ✓
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- A number is a multiple of 6 if and only if it also is a multiple of 2 and 3.
- For any multiple of 9 the sum of its digits is also a multiple of 9.
Common misconception
Incorrectly summing the digits to identify a multiple of 3 or 9.
Use number bonds to sum large numbers of digits.
Keywords
Divisibility - Divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.
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