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The largest 3-digit number is 999. To check if it is a multiple of 3, you can sum the digits: 9 + 9 + 9 = 27, which is divisible by 3. Therefore, 999 is the largest 3-digit number that is a multiple of 3.
Yes. Digit total is 9 which is a multiple of 3 so it is too.
No factor of 9 has three digits. 450 is a three-digit multiple of 150 (and of 9) with a digit sum of 9.
Yes, it is. It can be determined in moments, without doing the division, by calculating the core digit of the number, which is 9. Every number with a core digit value of 9 is a multiple of 9, and therefore a multiple of 3.
No. To check if a number is a multiple of 3 add its digits together and if this sum is a multiple of 3, then so is the original number. This sum can be continued until a single digit remains; if the single digit is 3, 6 or 9 then the original number is a multiple of 3, otherwise not. 19 → 1 + 9 = 10 10 → 1 + 0 = 1 which is not 3, 6 or 9, so 19 is not a multiple of 3.