- Numbers that are whole are all divisible by 1
- Example: 4,325 is divisible by 1

- Numbers are divisible by 2 if the ones digit is evenly divisible by 2.
- This means…. ALL even numbers (anything ending in 2,4,6, or 8) are divisible by 2.

- Numbers are divisible by 3 if the sum of all the individual digits is evenly divisible by 3.
- Example: 3,252 (3+2+5+2= 12) 12 is divisible by 3, so 3,252 is divisible by 3.

- Numbers are divisible by 4 if the last two individual digits are divisible by 4.
- Example: 5,612 (12 are the last two numbers) You can divide 12 by 4, so 5,612 is divisible by 4.
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- Numbers are divisible by 5 if the last digit is a 5 or a 0.
- Example: 2,105 (ends in a 5) so divisible by 5. 1,790 (ends in a 0) so divisible by 5.
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- Numbers are divisible by 6 if they are divisible by BOTH 2 and 3. See rules above.
- Must be an even number & sum of the digits is divisible by 3.
- Example: 4,572 (divisible by 2 because its even & all digits add up to 18, which is divisible by 3) so 4,572 is divisible by 6.
- Example: 4,629 (NOT divisible by 2, but all digits add up to 21, which is divisible by 3) Since not divisible by both 2 & 3, 4,629 is NOT divisible by 6.
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- Numbers are divisible by 7 if you take the last digit off, double that digit and subtract from the remaining number.
- Example: 6,104 (take 4 off end of number, double it which equals 8) 610-8=602. (you may need to repeat process twice) 602 (take 2 off end of number & double it to get 4) 60-4=58, which is NOT divisible by 7, so 6,104 is NOT divisible by 7.
- Example: 357 (take 7 off end, double it which equals 14) 35-14=21 Since 21 is divisible by 7, then 357 is divisible by 7.
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- Numbers are divisible by 8 if the last three digits are evenly divisible by 8.
- Example: 7,624 (624 is divisible evenly by 8), so 7,624 is divisible by 8.
- Example: 4008 (008 is divisible by 8), so 4008 is divisible by 8.
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- Numbers are divisible by 9 if you add up ALL of the digits in the number & the sum is divisible by 9.
- Example: 2,342,880 (2+3+4+2+8+8+0= 27) 27 is divisible by 9, so 2,342,880 is divisible by 9.
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**Divisibility for the number 10**

- Numbers are divisible by 10 if the number ends in 0.
- Example: 3,450 (ends in 0) so it’s divisible by 10.
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**Divisibility for the number 11**

- Numbers are divisible by 11 if you sum every second digit and subtract all the other digits & answer is 0 or divisible by 11.
- Example: 1,
**3**6**4**(3+4)-(1+6)= 7-7= 0, so yes, 1,364 is divisible by 11. - Example: 5,
**3**2**6**(3+6)-(5+2)= 9-7= 2, so NO, 5,326 is NOT divisible by 11. - (Back To Top)

**Divisibility for the number 12**

- Numbers are divisible by 12 if it is divisible by BOTH 3 and 4. (See examples above)
- Numbers are divisible by 3 if the sum of all the individual digits is evenly divisible by 3.
- Numbers are divisible by 4 if the last two individual digits are divisible by 4
- Example: 648 (By 3: 6+4+8=18, yes 18 divisible by 3; By 4:48÷4=12, yes) so, YES 648 is divisible by 12.
- Example: 237 (By 3: 2+3+7= 12, yes 12 divisible by 3; By 4: 37÷4= 9 1/4, no) so NO, 237 isn’t divisible by 12.
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