Q: What happens if you multiply odd by even?

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You get an even number as your answer.

Multiply two odd numbers Add an even and an odd Subtract an odd and an even

Odd times even is even.

You will always get another odd number.

I don't know ask albert einstein

Yep

yes, the product of 2 odd numbers is always an odd number. Well, the question is why. The first number is "even" + 1. Multiply both of these by your odd number. Now the "even" times "odd" is even, because every "1" in the odd number becomes a "2". And then the remaining 1 times "odd" must be odd, which is an even +1. Add it all up and you get evens everywhere except that final "1". So the result is even + 1 which is odd. There is a quicker way if you know how to multiply bracketed terms: odd x odd = (even + 1)x(even +1)= even x even +even +even +1 = must be odd.

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

An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Odd times even is even.

Even square numbers are even, by definition. Two even numbers multiplied together give an even number so no, they cannot multiply to give an odd number. You have to multiply an even number by an odd number to do this.

The answer is odd.

An even number.

That happens because 5 is an odd number. An odd number times an odd number will give you an odd product; an odd number times an even number will give you an even product. The same happens for the multiples of any other odd number.

Let E1 and E2 be two even numbers. Then (E1+1)(E2+1) will be the product of two odd numbers. We have E1*E2 +E2+E1+1. Now when we add or multiply even numbers, we get even numbers and we add 1, it's odd.

No, the product will always be even.

Always. even + even = even odd + odd = even even + odd = odd odd + even = odd To summarise, if you add like numbers you get even, otherwise you get odd.

Yes - while multiplying odd numbers by even numbers will always produce an even result.

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.

when an odd number is subtracted from an odd number the answer is an even number.

When you add them, you always get an even number; when you multiply them, the result is always odd.

an even number.

you would get an even number!

Well, the question is why. The first number is "even" + 1. Multiply both of these by your odd number. Now the "even" times "odd" is even, because every "1" in the odd number becomes a "2". And then the remaining 1 times "odd" must be odd, which is an even +1. Add it all up and you get evens everywhere except that final "1". So the result is even + 1 which is odd. There is a quicker way if you know how to multiply bracketed terms: odd x odd = (even + 1)x(even +1)= even x even +even +even +1 = must be odd. ========================== You've just read a truly impressive answer to a question slightly different from the one that was asked. The part of the question that comes after "Why if ..." is a false statement. If you multiply odd number with another number, the result is odd number ONLY if the nother number is also odd number.

Two odd numbers always sum to an even number. Always. Two even numbers always sum to an even number, and an odd number and an even number always sum to an odd number.

Odd numbers do NOT have a factor of 2. When an Even number is divided by an Odd number with no remainder, the prime factors of the divisor cancel out the prime factors of the dividend, but there will be no prime 2 to cancel the prime factor of 2 in the dividend leaving the the quotient to have a factor of 2, and so will be Even. --------------------------------------------------------- Alternatively, consider what happens when you multiply Odd and Even numbers: Odd × Odd = Odd Odd × Even = Even Even × Even = Even The result is Even ONLY if at least one of the numbers multiplied together is Even. Thus if you divide an Even number by an Odd number, the result must be Even. Also consider that Odd times Odd is Odd. Multiplication is the inverse of division, so if you have: dividend ÷ divisor = quotient then dividend = quotient × divisor Now, if the divisor is Odd and the quotient is Odd, the the Dividend MUST be Odd (since Odd × Odd = Odd). Thus if the Dividend is Even and the Divisor is Odd, then the Quotient must be Even.

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