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There are 3 cases:

An even number time an even number such as 2*6=12 is always even. Proof: Since even numbers can be expressed as 2*X and 2*Y, their product is 4xy which is even.

An even number times an odd number (same as odd times even) such as 2*3=6 is always even. Proof: 2X represents an even number and 2Y+1 represents an odd number. Their product is 4XY+2X=2(2XY+X), which is even.

An odd number times an odd number such as 11*11=121 is always odd. Proof: Let 2X+1 and 2Y+1 be the two odd numbers. Their product is 4XY+2X+2Y+1 = 2(2XY+X+Y)+1, which is odd.

Summary: the product of two numbers is always even unless the two numbers are both odd.

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Q: What do you know about the product of odd and even numbers?

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Any two odd numbers will have an odd product and an even sum.

Even

The product of two odd numbers is never even.

No such numbers exist; the product of two odd numbers is always odd.

Yes it is possible to determine if a product will be even or odd. To do this, we need to consider what an even number is. Even numbers are numbers with at least one factor of 2 (meaning they are divisible by 2). Thus, any product of numbers which contains at least one even number will result in an even product. If all of the numbers being multiplied together are odd, the product will be odd. If one or more of the numbers is even, the product will be even.

no

The product of multiplication results in a number that has all of the factors of the two numbers being multiplied. All even numbers have the prime factor 2. Since no odd number has the factor 2, no product of those numbers can have it. So: - Odd numbers times odd numbers produce odd numbers. - Odd numbers times even numbers produce even numbers. - Even numbers times even numbers produce even numbers.

Any pair of one even and one odd number will have an even product and an odd sum.

even

Without knowing what the product is, it will be difficult to help. Presumably, you can tell the difference between even and odd numbers. If you are trying to predict, the product of two evens is even, the product of two odds is odd and the product of an even and an odd is even.

If you multiply one even number by one odd number, the result is always even. In general, if you multiply several numbers, and at least one of the numbers is even, the product is always even. This is because "even" means "multiple of 2", and if one of the factors contains a 2 as a factor, so will the product.

I would describe the rule as one of the simplest possible.The product is odd only if each of the natural numbers is odd. If any one of them is even, the product is even.I would describe the rule as one of the simplest possible.The product is odd only if each of the natural numbers is odd. If any one of them is even, the product is even.I would describe the rule as one of the simplest possible.The product is odd only if each of the natural numbers is odd. If any one of them is even, the product is even.I would describe the rule as one of the simplest possible.The product is odd only if each of the natural numbers is odd. If any one of them is even, the product is even.

If at least one of the numbers is even, the result will be even. Otherwise all the numbers are odd and the result will be odd.

even

I guess you mean "product" - the product of two odd numbers is odd. (For example, 3x3=9, 5x3=15, etc.

None. The sum or product of any two even numbers must be even.

No, the product will always be even.

YES!

Sum is always even, product is always odd.

The product of two odd numbers is always an odd number.

21, 23 ... (19, both numbers would be odd) Do you know what odd and even means?

There is no set of odd numbers whose product is 56 since the latter is even.

Some. Any product of a set of odd numbers will be odd. To be even, a composite number must have at least one even factor. Therefore odd composite numbers must exist.

This is not always true. If the sum of two numbers is even, then those two numbers are either both even or both odd. For example: 2 + 2 = 4 (even + even = even) 5 + 7 = 12 (odd + odd = even) 3 + 2 = 5 (odd + even = odd)

no.