1. **Check divisibility for each number:** - Divisible by 3: Sum of digits divisible by 3. - Divisible by 6: Number divisible by both 2 and 3 (even and divisible by 3). - Divisible by 9: Sum of digits divisible by 9. 2. **Number 1: 6894** - Sum digits: 6+8+9+4=27, divisible by 3 and 9. - Last digit 4 is even, so divisible by 2. - Divisible by 3: Yes, factors example: 3 × 2298. - Divisible by 6: Yes, factors example: 6 × 1149. - Divisible by 9: Yes, factors example: 9 × 766. 3. **Number 2: 19650** - Sum digits: 1+9+6+5+0=21, divisible by 3 but not 9. - Last digit 0 even. - Divisible by 3: Yes, factors example: 3 × 6550. - Divisible by 6: Yes, factors example: 6 × 3275. - Divisible by 9: No. 4. **Number 3: 804576** - Sum digits: 8+0+4+5+7+6=30, divisible by 3 but not 9. - Last digit 6 even. - Divisible by 3: Yes, factors example: 3 × 268192. - Divisible by 6: Yes, factors example: 6 × 134096. - Divisible by 9: No. 5. **Number 4: 1787265** - Sum digits: 1+7+8+7+2+6+5=36, divisible by 3 and 9. - Last digit 5 odd. - Divisible by 3: Yes, factors example: 3 × 595755. - Divisible by 6: No (not even). - Divisible by 9: Yes, factors example: 9 × 198585. 6. **Number 5: 3003003** - Sum digits: 3+0+0+3+0+0+3=9, divisible by 3 and 9. - Last digit 3 odd. - Divisible by 3: Yes, factors example: 3 × 1001001. - Divisible by 6: No (not even). - Divisible by 9: Yes, factors example: 9 × 333667. --- **Challenger: Write 5 or more numbers for each condition** 1. Numbers >300 and <500 divisible by 6: 306, 312, 318, 324, 330 2. Numbers >1000 and <2000 divisible by 9: 1008, 1017, 1026, 1035, 1044 3. Numbers <200 divisible by 3: 3, 6, 9, 12, 15 Final answers are summarized above with factors where applicable.