Question

determine whether each of the following 4 - digit numbers is divisible by 2, 5, 10, 3, 9, and/or 6. circle all that apply. reminders: 2 - ends in a 0, 2, 4, 6, or 8; 5 - ends in a 0 or 5; 10 - ends in a 0; 3 - the digits add up to a multiple of 3 (3, 6, 9, 12, 15, 18, 21, 27, 30, 33, 36...); 9 - the digits add up to a multiple of 9 (9, 18, 27, 36, 45, 54...); 6 - divisible by 2 and 3. 1. 4580: is it divisible by 2 5 10 3 9 6; 2. 5419: is it divisible by: 2 5 10 3 9 6; 3. 3229: is it divisible by: 2 5 10 3 9 6; 4. 8972: is it divisible by: 2 5 10 3 9 6; 5. 9883: is it divisible by: 2 5 10 3 9 6; 6. 4517: is it divisible by: 2 5 10 3 9 6; 7. 5090: is it divisible by: 2 5 10 3 9 6; 8. 7702: is it divisible by: 2 5 10 3 9 6; 9. 5747: is it divisible by: 2 5 10 3 9 6; 10. 9824: is it divisible by: 2 5 10 3 9 6

Explanation:

Step1: Check divisibility by 2

Check if the number ends with 0, 2, 4, 6, or 8.

Step2: Check divisibility by 5

Check if the number ends with 0 or 5.

Step3: Check divisibility by 10

Check if the number ends with 0.

Step4: Check divisibility by 3

Sum the digits of the number and check if the sum is a multiple of 3.

Step5: Check divisibility by 9

Sum the digits of the number and check if the sum is a multiple of 9.

Step6: Check divisibility by 6

Check if the number is divisible by both 2 and 3.

1. For 5419:

• Ends with 9, so not divisible by 2, 5, 10.
• \(5 + 4+1 + 9=19\), 19 is not a multiple of 3 or 9. So not divisible by 3, 9, 6.

Answer:

Not divisible by 2, 5, 10, 3, 9, 6

1. For 3229:

• Ends with 9, so not divisible by 2, 5, 10.
• \(3+2 + 2+9 = 16\), 16 is not a multiple of 3 or 9. So not divisible by 3, 9, 6.