1, 3, 5, 15, 31, 71, 93, 155, 213, 355, 465, 1065, 2201, 6603, 11005, 33015
Yes 33015/3 is 11005. Here's a tip: if the digits of number add up to a multiple of three, then that number is also a multiple of three.
no
Converse:If a number is divisible by 3, then every number of a digit is divisible by three. Inverse: If every digit of a number is not divisible by 3 then the number is not divisible by 3? Contrapositive:If a number is not divisible by 3, then every number of a digit is not divisible by three.
999 is divisible by 9, but not by six; the next lower number divisible by 9 is 990, which is also divisible by 6, so that's the answer. Some shortcuts for divisibility: 0 is divisible by any number. If the last digit of a number is divisible by 2, the number itself is divisible by 2. If the sum of the digits of a number is divisible by 3, the number itself is divisible by 3. If the last TWO digits of a number are divisible by 4, the number itself is divisible by 4. If the last digit of a number is divisible by 5, the number itself is divisible by 5. If a number is divisible by both 2 and 3, it is divisible by 6. If the last THREE digits of a number are divisible by 8, the number itself is divisible by 8. If the sum of the digits of a number is divisible by 9, the number itself is divisible by 9. 990: 9+9+0=18, which is divisible by 9, so 990 is divisible by 9. 18 is also divisible by 3, so 990 is divisible by 3, and since 990 ends in 0 it's also divisible by 2, meaning that it's divisible by 6 as well.
35 is not divisible by 3.
No.
No.
Yes 33015/3 is 11005. Here's a tip: if the digits of number add up to a multiple of three, then that number is also a multiple of three.
yes
Yes
no
yes
Yes, both.
Yes: 33,015 / 5 = 6,603
3, yes; 2, no
1, 3, 5, 15, 31, 71, 93, 155, 213, 355, 465, 1065, 2201, 6603, 11005, 33015.
1, 3, 5, 15, 31, 71, 93, 155, 213, 355, 465, 1065, 2201, 6603, 11005, 33015.