Q: Why are all multiples of 3 odd and even?

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No - alternate multiples of 3 are odd, and alternate multiples are even.

The multiples of ODD numbers by ODD numbers are ODD. (e.g. 1 x 3, 3 x 3, 5 x 3) Multiplying any number by an EVEN number produces an EVEN number.

Any time you multiply an odd number by an even number, the answer is even.

3, 9, and 15. 6 and 18 are also multiples of 3, but are even.

Because not all odd numbers are multiples of 3 - I have shown you below that this is the case and you can see some multiples of 3 are even and some are odd and you can also see that there are even and odd numbers BETWEEN the multiples of 3. 1 (odd) 2 (even) 1*3 =3 (odd) 4 (even) 5 (odd) 2*3 = 6 (even) 7 (odd) 8 (even) 3*3 = 9 (odd) 10 (even) 11 (odd) 4*3 = 12 (even)

Because multiplying three by an even number will get an even product.

When u continue to multiply by 3 u will see that all of the numbers will be EVEN or ODD.

Not much of a choice. Assuming you wanted to choose between even and odd, choose odd.

NO. When a number is odd, not all of its multiples are odd.Example: 3 is an odd number.Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24,...Multiples of 3 which are not odd: 6, 12, 18, 24, ...

All odd multiples of 3 are not factors of 8.

No way. 3*10 is 30.

False

All integers have an infinite amount of multiples.

No, because 3 x 2 = 6

No, 3 x 4 = 12.

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.

No, because 6 is a multiple of 3 and an even number.

No, 6, 12, 18, 24...are even numbers that are multiples of 3.

No, they are not.

Odd multiples of 21.

No, some of them are, some are not.

2, 4, 6 All even numbers have even multiples.

No. 6 is a multiple of 3.

They have to be multiples of 15 so all of them will be multiples of 3. They all have to be even so you are left with 30, 60, 90

They are the multiples of 6. Since there are infinitely many of them I will not even attempt to list all of them.

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