The number you're looking for is 4. It's an even number, and when you add 5 to it, the result is 9, which is a multiple of 3.
There is no greatest multiple of any number: whatever multiple of 4 you say is the greatest I can always add 4 and get an even greater multiple.
To be a multiple of 6 a number must be even and a multiple of 3.356 is not a multiple of three. The short cut to that is if the digits add up to a multiple of three then the original number is a multiple of 3.
There is no greatest multiple of any number: whatever multiple of 164 you say is the greatest I can al;ways add 164 and get an even greater multiple.
No, 92 is not a multiple of 3. A quick way to check if a number is a multiple of 3 is: add up the digits of the number you are checking; if this sum equals 3 or a multiple of 3, then the number is a multiple of 3. So in this case, 92 --> 9+2=11, which is not a multiple of 3. If you have to you can add again, so for 11 --> 1+1=2, which is not a multiple of 3. You can always repetitively add until you get to a single digit answer: if it's 3,6 or 9 then it's a multiple of 3. Also if your sum is 9 or a multiple of 9, then the original number is a multiple of 9. To check for 6, if a number is a multiple of 3, and also a multiple of 2 (an even number), then the number is a multiple of 6.
336
if it's even and all the digits add up to a multiple of 3
An even number whose digits add up to 9 or a multiple of 9.
If you add an even number to an even number, you will have an even number as a result.
288. All multiples of 9 will have digits that add to a multiple of 9. To get a multiple of 9 to be all even, you need to get them to add to 18, since no set of even numbers will add up to 9. 288 is the lowest multiple of 9 to be able to add to 18. ■
424 is an even number so passes first test, but digits do not add to a multiple of 3 so it fails second. It is not a multiple of 6. 426, however, is, as is 444.
because it can, if you add odd numbers the always don't have to be an odd number
41