Starter quiz
- List the first six multiples of 5
- 1, 2, 3, 4, 5, 6
- 1, 5, 10, 15, 20, 25
- 5, 10, 15, 20, 25, 30 ✓
- 10, 15, 20, 25, 30, 35
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- All numbers that are divisible by 6 are also divisible by __________
- 1 and 5
- 2 and 3 ✓
- 2 and 4
- 8
-
- Which of these numbers is divisible by 6?
- 60 434
- 63 536
- 64 000
- 64 896 ✓
-
- Which of these numbers is divisible by 9?
- 467 476
- 4 739 874
- 432 840 933 ✓
- 454 792 935
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- Jun can see immediately that 239 284 214 389 184 391 is not divisible by 6. Which statement explains Jun's reasoning?
- Large numbers are unlikely to be divisible by 6
- The number is prime
- It is odd so it can not be divisible by 6 ✓
- Its digit sum is not divisible by 3
-
- Which of the following numbers is divisible by both 6 and 9?
- 204 901
- 867 982
- 22 893 906
- 28 082 808 ✓
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Exit quiz
- Lucas has a four digit number. The first three digits are: 3, 4 and 5. What must the last digit be to make the number divisible by 5?
- 0
- 5
- 0 or 5 ✓
- 0, 2, 4, 6, 8
- Any number so long as the digits sum to a multiple of 5
-
- Which of the following numbers are divisible by 5?
- 353 555 430 ✓
- 423 554 359
- 453 245 235 ✓
- 354 352 454
-
- Which of the following numbers is divisible by 10?
- 147 389
- 218 475
- 234 838
- 384 320 ✓
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- Match each statement with the correct divisibility test.
- For all multiples of 2 ...⇔the digits 0, 2, 4, 6 or 8 are in the ones column ✓
- For all multiples of 3 ...⇔the sum of digits are a multiple of 3 ✓
- For all multiples of 5 ...⇔the digits 0 or 5 are in the ones column ✓
- For all multiples of 9 ...⇔the sum of digits are a multiple of 9 ✓
- For all multiples of 10 ...⇔the digit 0 is in the ones column ✓
- Numbers that are divisible by 3 and 5 are:
- divisible by 15 ✓
- divisible by 8
- all odd
- all even
-
- Which number is a multiple of 3, 5 and 10?
- 2 143 284 035
- 3 489 023 480 ✓
- 3 498 840 353
- 3 500 000 000
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- For any multiple of 10 the place value of the ones column is zero.
- For any multiple of 5 the place value of the ones column is zero or five.
- Any multiple of 10 is also a multiple of 5 and 2.
Common misconception
A number is a prime if it is not divisible by 2, 3, 5 or 10.
A factor of a number can be greater than 10.
Keywords
Divisibility - Divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.
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