Summer Skills worksheets - All Saints

SKILL
7
Name Date Period
Divisibility Rules
The following rules will help you determine if a number is divisible
by 2, 3, 4, 5, 6, 8, 9, or 10.
A number is divisible by:
• 2 if the ones digit is divisible by 2.
• 3 if the sum of the digits is divisible by 3.
• 4 if the number formed by the last two digits is divisible by 4.
• 5 if the ones digit is 0 or 5.
• 6 if the number is divisible by 2 and 3.
• 8 if the number formed by the last three digits is divisible by 8.
• 9 if the sum of the digits is divisible by 9.
• 10 if the ones digit is 0.
Example Determine whether 2120 is divisible by 2, 3, 4, 5, 6, 9, or 10.
2: The ones digit is divisible by 2.
2120 is divisible by 2.
3: The sum of the digits 2 1 2 0 5, is not divisible by 3.
2120 is not divisible by 3.
4: The number formed by the last two digits, 20, is divisible by 4.
2120 is divisible by 4.
5: The ones digit is 0.
2120 is divisible by 5.
6: The number is divisible by 2 but not by 3.
2120 is not divisible by 6.
8: The number formed by the last 3 digits, 120, is divisible by 8.
2120 is divisible by 8.
9: The sum of the digits, 2 1 2 0 5, is not divisible by 9.
2120 is not divisible by 9.
10: The ones digit is 0.
2120 is divisible by 10.
2120 is divisible by 2, 4, 5, 8, and 10.
Determine whether the first number is divisible by the second
number. Write yes or no.
1. 4829; 9 2. 482; 2 3. 1692; 6
4. 1355; 10 5. 633; 3 6. 724; 4
7. 3714; 8 8. 912; 9 9. 559; 5
10. 20,454; 6 11. 616; 8 12. 3000; 4
© Glencoe/McGraw-Hill 13 Algebra