Question

3 multiple answer 1 point
determine which of the following numbers are divisible by 9. use the divisibility test for 9 to check each. choose every number that is divisible by 9.
906030
987654320
1101
123456789
123124
123123
110101
906028

4 multiple answer 1 point
determine which of the following numbers are divisible by 4. use the divisibility test for 4 to check each. choose every number that is divisible by 4.
1111154
1260
9924
9918
1111152
1770
5874
8576

Explanation:

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Part 1: Divisibility by 9

Divisibility rule: Sum digits, check if divisible by 9.

Step1: Sum digits of 906030

$9+0+6+0+3+0=18$

Step2: Sum digits of 987654320

$9+8+7+6+5+4+3+2+0=44$

Step3: Sum digits of 1101

$1+1+0+1=3$

Step4: Sum digits of 123456789

$1+2+3+4+5+6+7+8+9=45$

Step5: Sum digits of 123124

$1+2+3+1+2+4=13$

Step6: Sum digits of 123123

$1+2+3+1+2+3=12$

Step7: Sum digits of 110101

$1+1+0+1+0+1=4$

Step8: Sum digits of 906028

$9+0+6+0+2+8=25$

Step9: Check divisibility by 9

18, 45 are divisible by 9.

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Part 2: Divisibility by 4

Divisibility rule: Check last 2 digits for divisibility by 4.

Step1: Check last 2 digits of 1111154

$54 \div 4 = 13.5$ (not integer)

Step2: Check last 2 digits of 1260

$60 \div 4 = 15$ (integer)

Step3: Check last 2 digits of 9924

$24 \div 4 = 6$ (integer)

Step4: Check last 2 digits of 9918

$18 \div 4 = 4.5$ (not integer)

Step5: Check last 2 digits of 1111152

$52 \div 4 = 13$ (integer)

Step6: Check last 2 digits of 1770

$70 \div 4 = 17.5$ (not integer)

Step7: Check last 2 digits of 5874

$74 \div 4 = 18.5$ (not integer)

Step8: Check last 2 digits of 8576

$76 \div 4 = 19$ (integer)

Answer:

Numbers divisible by 9:

906030, 123456789

Numbers divisible by 4:

1260, 9924, 1111152, 8576