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Even numbers are the multiples of 2 and are those numbers which end with one of {0, 2, 4, 6, 8}; odd numbers are those which are not multiples of two and are those numbers which end with {1, 3, 5, 7, 9}.

When an even number is multiplied by an even or odd number the result is always an even number.

4 is an even number; thus all its multiples are even numbers.

Any number that ends with a 3 is an odd number.

There are no numbers which are both odd and even; therefore no multiple of 4 can end in a 3.

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Q: Why can't a number ending in 3 be a multiple of 4?
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What kind of number is divisible by 3 and 5?

A number ending in 0 or 5, whose digits sum to a multiple of 3.


Why can a number which ends in 3 not be a multiple of 6?

A number that ends in 3 is an odd number, as it is not divisible by 2. For a number to be a multiple of 6, it must be divisible by both 2 and 3. Since a number ending in 3 is not divisible by 2, it cannot be a multiple of 6. In other words, any number ending in 3 will always have a remainder when divided by 6.


Why cant a multiple of 15 be a prime number?

A prime number has no factors other than 1 and itself. Each multiple of fifteen includes 3, 5, and 15 among its factors.


Is 4339 divisible by 3?

No. To find if a number is a factor of 3, add the number's digits. If the resulting number is a multiple of 3, then the original number is a multiple of 3. In 4339, the digits of the number added together is 19, which is not a multiple of 3.


Is 92 a multiple of 3?

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.