Starter quiz
- List the first five multiples of 4
- 1, 4, 8, 12, 16
- 4, 8, 12, 16, 20 ✓
- 1, 2, 4
- 5, 10, 15, 20
- 8, 12, 16, 20, 24
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- List the first five multiples of 8
- 1, 2, 4 and 8
- 1, 2, 3, 4 and 5
- 16, 24, 32, 40, 48
- 8, 16, 24, 32, 40 ✓
- 1, 8, 16, 24, 32
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- Which of the following numbers are divisible by 2?
- 2445
- 5435
- 6 578 434 ✓
- 46 573 567
- 34 324 545 353 450 ✓
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- Which of the following numbers are divisible by 5?
- 327 945 ✓
- 820 948
- 400 001
- 555 559
- 624 080 ✓
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- Which of the following numbers are divisible by 10?
- 3467
- 4324
- 8780 ✓
- 615 743
- 756 740 ✓
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- Numbers that are divisible by 3, 5 and 10 are also divisible by 1 and ______
- '30' ✓
Exit quiz
- Which of the following sets of numbers are divisible by 4?
- 374 394 473 848
- 434 398 247 950
- 548 344 840 236 ✓
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- Which of the following sets of numbers are divisible by 8?
- 376 392 472 848 ✓
- 434 398 248 950
- 482 413 840 234
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- Which of the following sets of numbers are divisible by both 4 and 8?
- 12 450 394
- 34 564 324
- 40 804 830 484
- 48 296 896 488 ✓
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- Match each set of multiples to its correct description.
- For all multiples of 2 ...⇔the digit in the ones column is a 0, 2, 4, 6 or 8 ✓
- For all multiples of 4 ...⇔the last two digits are a multiple of 4 ✓
- For all multiples of 8 ...⇔the last three digits are a multiple of 8 ✓
- For all multiples of 9 ...⇔the sum of the digits are a multiple of 9 ✓
- For all multiples of 10 ...⇔the digit in the ones column is a 0 ✓
- Select the correct statement.
- Jun says, “All common multiples of 4 and 8 are in the 32 times table.”
- Sofia says, “All multiples of 4 are in the 8 times table.”
- Aisha says, "All common multiples of 4 and 5 are odd."
- Sam says, "All common multiples of 2, 4 and 8 are in the 8 times table." ✓
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- Jun is given 483, 783, 839, 983 and 893 and says it is not necessary to do a divisibility test for 4 or 8. Which statement explains his reasoning?
- Very large numbers are unlikely to be divisible by 4 and 8
- The number is prime.
- The number is odd. ✓
- The number is even.
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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 4 if and only if the last two digits are a multiple of 4.
- Any multiple of 4 is also a multiple of 2.
- A number is a multiple of 8 if and only if the last three digits are a multiple of 8.
- Any multiple of 8 is also a multiple of 4 and 2.
Common misconception
Often students only consider the last 2 digits of a number to check for divisibility for 8.
The last 2 digits check for divisibility for 4 not 8.
Keywords
Divisibility - Divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.
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