TEMathI Determine if the number given adivisible box 25, 10, 3, 6, 9,*xample 048 16 dubil2,3, 6, 91.780=6.225=7.909=8,270-8 +582 =9'by21684=3,516=4,642=1500=AT thethe number is10 159=
Answer (1)
Answer:Here's a breakdown of the divisibility rules and how they apply to the numbers: Divisibility Rules: - 2: A number is divisible by 2 if the last digit is even.- 3: A number is divisible by 3 if the sum of its digits is divisible by 3.- 6: A number is divisible by 6 if it is divisible by both 2 and 3.- 9: A number is divisible by 9 if the sum of its digits is divisible by 9.- 10: A number is divisible by 10 if the last digit is 0.- 25: A number is divisible by 25 if the last two digits are divisible by 25. Let's test the numbers: 1. 780: - 2: Yes (last digit is even)- 3: Yes (7 + 8 + 0 = 15, which is divisible by 3)- 6: Yes (divisible by both 2 and 3)- 9: No (15 is not divisible by 9)- 10: Yes (last digit is 0)- 25: No (80 is not divisible by 25)2. 225: - 2: No (last digit is odd)- 3: Yes (2 + 2 + 5 = 9, which is divisible by 3)- 6: No (not divisible by 2)- 9: Yes (9 is divisible by 9)- 10: No (last digit is not 0)- 25: Yes (last two digits, 25, are divisible by 25)3. 909: - 2: No (last digit is odd)- 3: Yes (9 + 0 + 9 = 18, which is divisible by 3)- 6: No (not divisible by 2)- 9: Yes (18 is divisible by 9)- 10: No (last digit is not 0)- 25: No (09 is not divisible by 25)4. 270: - 2: Yes (last digit is even)- 3: Yes (2 + 7 + 0 = 9, which is divisible by 3)- 6: Yes (divisible by both 2 and 3)- 9: Yes (9 is divisible by 9)- 10: Yes (last digit is 0)- 25: No (70 is not divisible by 25)5. 8582: - 2: Yes (last digit is even)- 3: Yes (8 + 5 + 8 + 2 = 23, which is not divisible by 3)- 6: No (not divisible by 3)- 9: No (23 is not divisible by 9)- 10: No (last digit is not 0)- 25: No (82 is not divisible by 25)6. 21684: - 2: Yes (last digit is even)- 3: Yes (2 + 1 + 6 + 8 + 4 = 21, which is divisible by 3)- 6: Yes (divisible by both 2 and 3)- 9: No (21 is not divisible by 9)- 10: No (last digit is not 0)- 25: No (84 is not divisible by 25)7. 3516: - 2: Yes (last digit is even)- 3: Yes (3 + 5 + 1 + 6 = 15, which is divisible by 3)- 6: Yes (divisible by both 2 and 3)- 9: No (15 is not divisible by 9)- 10: No (last digit is not 0)- 25: No (16 is not divisible by 25)8. 642: - 2: Yes (last digit is even)- 3: Yes (6 + 4 + 2 = 12, which is divisible by 3)- 6: Yes (divisible by both 2 and 3)- 9: No (12 is not divisible by 9)- 10: No (last digit is not 0)- 25: No (42 is not divisible by 25)9. 1500: - 2: Yes (last digit is even)- 3: Yes (1 + 5 + 0 + 0 = 6, which is divisible by 3)- 6: Yes (divisible by both 2 and 3)- 9: No (6 is not divisible by 9)- 10: Yes (last digit is 0)- 25: Yes (last two digits, 00, are divisible by 25)10. 159: - 2: No (last digit is odd)- 3: Yes (1 + 5 + 9 = 15, which is divisible by 3)- 6: No (not divisible by 2)- 9: No (15 is not divisible by 9)- 10: No (last digit is not 0)- 25: No (59 is not divisible by 25) I hope this helps! Let me know if you have any other questions.
