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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.

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Q: When multiplying an odd number by an odd number why is the result odd?

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Your question is incomplete. Adding an even number with an odd number will always result in an odd number. Multiplying an even number with an odd number will always result in an even number.

an odd numberSubtracting an odd number from an even number will always result in an odd number.

All odd numbers are of the form 2n + 1, where n is an integer.So an odd number minus an odd number is (2n+1) - (2m+1) = 2n -2m = 2(n-m). Both n and m are integers, so while we don't know whether n-m is odd or even, we definitely know that it's an integer and that multiplying it by two cannot possibly give an odd number. So an odd number minus an odd number is an even number. For similar reasons, an odd number plus an odd number is also an even number.

No never If you add an odd number to another odd number it will result in even number eg. 1+3=4, 7+9=16, 211+313=524 etc Even if you add even to even it results in even only eg. 2+2=4, 210+512=722 etc But if you add an Even no with an Odd number it will always result in an odd sum eg. 2+3=5, 313+512=825 etc.

Multiplying or dividing a positive and negative gives a negative result. Multiplying or dividing two negatives gives a positive result.

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Your question is incomplete. Adding an even number with an odd number will always result in an odd number. Multiplying an even number with an odd number will always result in an even number.

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

Every odd number. Multiplying two even numbers gives an even number. Multiplying an odd and an even number gives an even number. Multiplying two odd numbers gives an odd number.

Multiplying two odds together gives an odd result Otherwise multiplying one even and one odd, or two even numbers together gives an even result.

odd * odd = odd answer even * even = even answer odd * even = even answer

Yes

A negative number squared equals a positive number. When multiplying, odd numbers of negatives result in a negative answer, and even numbers of negatives result in a positive answer.

Multiplying a positive and negative number will give a negative result. The result is a negative number.

The result is an odd number.

Your answer will always be even

an odd numberSubtracting an odd number from an even number will always result in an odd number.

The result is their product.

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