900
3, 6, 9
Of the ten digits, 0 is the only one that is divisible by 9.
A three-digit number is divisible by 9 if the sum of its digits is divisible by 9. For example, the number 108 is a three-digit number, and the sum of its digits (1 + 0 + 8) equals 9, which is divisible by 9. Other examples include 117 and 126.
972.
The least three-digit number that is divisible by both 5 and 9 is 135.
All you need to do is multiply the three numbers together:5 * 6 = 3030 * 9 = 270
The largest three-digit number is 999. To determine if it is a multiple of three, we can check if the sum of its digits (9 + 9 + 9 = 27) is divisible by three. Since 27 is divisible by three, 999 is the largest three-digit multiple of three.
987
6 + 4 + 6 = 16 1 + 6 = 7 → No; 646 is not divisible by 9 (there is a remainder of 7). ----------------------------------------- Only if the sum of the digits is divisible by 9 is the original number divisible by 9. Repeat the test on the sum until a single digit remains; only if this single digit is 9 is the original number divisible by 9, otherwise this single digit is the remainder when the original number is divided by 9.
144 is divisible by 12 and 9.
0, 3, 6 or 9.
To be divisible by 2 the number must be even, that is its last digit must be 2, 4, 6, 8, or 0; the last digit of 26 is 6 which is one of {2, 4, 6, 8, 0} so 26 is even and divisible by 2. To be divisible by 3 sum the digits of the number; if this sum is divisible by 3 then the original number is divisible by 3. The test can be repeated on the sum until a single digit remains, in which case if this single digit is 3, 6, or 9 then the original number is divisible by 3; For 26: 2 + 6 = 8 which is not one of {3, 6, 9} so 26 is not divisible by 3. To be divisible by 5 the last digit must be a 0 or 5; the last digit of 26 is a 6 which is not 0 nor 5, so 26 is not divisible by 5. To be divisible by 9 sum the digits of the number; if this sum is divisible by 9 then the original number is divisible by 9. The test can be repeated on the sum until a single digit remains, in which case if this single digit is 9 then the original number is divisible by 9; For 26: 2 + 6 = 8 which is not 9 so 26 is not divisible by 9. 26 is divisible by 2 but not divisible by 3, 5 nor 9.