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Divisibility
The following divisibility rules will help you determine if a number is divisible by 2, 3, 4, 5, 6, 9,and 10.

Reteach 4.4

Every even number is divisible by 2.

Numbers ending in 0, 2, 4, 6, and 8 are divisible by 2. The sum ofthe digits in 462 is 4 6 2 or 12. 12 is divisible by 3, so 462 is divisible by 3. The last two digits in 216 are 16. Since 16 isdivisible by 4, 216 is divisible by 4. 95 ends in 5. It is divisible by 5. 366 is divisible by 2 and 3. It is also divisible by 6.

Anumber is divisible by 3 if the sum of its digits is divisible by 3. A number is divisible by 4 if its last two digits are divisible by 4.Every number that ends in 0 or 5 is divisible by 5. Every number that is divisible by both 2 and 3 is also divisible by 6. A numberis divisible by 9 if the sum of its digits is divisible by 9. Every number that ends in 0 is divisible by 10.

The sum of the digitsin 5,373 is 5 3 7 3 or 18. 18 is divisible by 9, so 5,373 is divisible by 9. 9,860 ends in 0. It is divisible by 10.

Write Yes orNo to show if each number is divisible by 2, 3, 4, 5, 6, 9, and 10. 2
1. 440 2. 678 3. 325 4. 546 5. 3,091 6. 9,765 7. 2,124 8. 8,8203

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Use with text pages 92–94.