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Name_______________________________ Date__________________________ Clues for Divisibility | |
| (2) |
A number can be divided by 2 if it ends in a 0, 2, 4, 6, or 8. ALL EVEN NUMBERS ARE DIVISIBLE BY 2.
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| (3) | A number can be divided by 3 only if the sum of its digits is divisible by 3.
For example: 4,971 4+9+7+1 = 21 and 21/3 = 7. Therefore 4,971 is divisible by 3.
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| (4) | An even number in which the last two digits can be divided evenly by 4 is divisible by 4.
For example: 616 16/4 = 4. Therefore 616 is divisible by 4.
Also: all numbers ending in two zeros are divisible by 4.
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| (5) | Any number that ends in 5 or 0 is divisible by 5.
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| (6) |
A number can be divided by 6 only if it is an even number and the sum of its digits is divisible by 3.
For example: 9,558 9,558 is an even number and 9+5+5+8 = 27 and 27 can be divided evenly by 3.
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| (7) | There is no divisibility clue for 7.
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| (8) | The clue for 8 only works on numbers of 1000 or more. A number can be divided evenly by 8 if it is an even number and the last three digits can be divided evenly by 8.
For example: 39,712 712/8 = 79. Therefore 39,712 can be divided evenly by 8.
Also: any number ending in 000 is divisible by 8.
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| (9) | A 9 will go evenly into any number in which the sum of the digits is divisible by 9.
For example: 50,382 (5+0+3+8+2 = 18) and 18/9 = 2. Therefore, 50,382 is divisible by 9.
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| (10) | Any number that ends in 0 is divisible by 10. |