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Q: If the product of two numbers is even then do the two numbers both have to be positive?
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What is true about the product of two even numbers?

The product of two even numbers is even. The product of two even numbers will be even. If they are both positive numbers, it will be greater than both of them. If one of them ends in 0, the product will end in 0.


What is the product of two negative and three positive numbers?

It is positive. Any product of an even number of negative numbers will be positive, regardless of how many positive numbers you have. Similarly any product of an odd number of negative numbers will be negative, regardless of how many positive numbers you have.


Is the product of 2 prime numbers always even?

No, the product of 2 prime numbers is not always even. If one of the prime numbers is 2, then the product will be even. However, if both prime numbers are odd, then the product will be odd.


Is the product of 6 negative numbers sometimes negative?

No, it can't be. The product of an odd number of negatives is negative.The product of an even number of negatives is positive.(The product of each two of your 6 negatives is positive, so you wind upwith the product of three positive numbers.)


How would you Explain how you would decide whether the product of three numbers is positive or negative?

If all three numbers are positive then the product obviously has to be positive. If TWO of the three numbers are negative, then the product is also positive. But if exactly ONE of the three numbers is negative or if all THREE are negative, then the product must be negative. In general, a product of numbers is negative if an ODD NUMBER of the terms is negative.

Related questions

What is true about the product of two even numbers?

The product of two even numbers is even. The product of two even numbers will be even. If they are both positive numbers, it will be greater than both of them. If one of them ends in 0, the product will end in 0.


What is the product of two negative and three positive numbers?

It is positive. Any product of an even number of negative numbers will be positive, regardless of how many positive numbers you have. Similarly any product of an odd number of negative numbers will be negative, regardless of how many positive numbers you have.


If the product of two numbers is positive then the two numbers must both be positive?

No! If one number is negative and the positive is greater than it's interval (positive version [e.g. the interval of -6 is 6]), then the product will very well be positive. In theory, of course. Sorry, tenth grader speaking... Small error here; product is the result of multiplication. The answer above is correct for a sum, but not a product. The rule for a product is even simpler than for a sum :- If the two numbers have the same signs (both positive or both negative) then the result will be positive. If the numbers have different signs the result will be negative.


Is the product of an even number of negative numbers positive?

Yes because the product of each pair of negative numbers must be positive.


Is the product positive or negative when an even number of negative numbers are multiplied?

Any 2 negative numbers, whether even or odd, when multiplied are positive


Is the product of 2 prime numbers always even?

No, the product of 2 prime numbers is not always even. If one of the prime numbers is 2, then the product will be even. However, if both prime numbers are odd, then the product will be odd.


Is the product of 6 negative numbers sometimes negative?

No, it can't be. The product of an odd number of negatives is negative.The product of an even number of negatives is positive.(The product of each two of your 6 negatives is positive, so you wind upwith the product of three positive numbers.)


If the product of two numbers is even then the two numbers must be even?

At least one of the two numbers has to be even, but both can be even.


Is the product of 4 negative integers positive or negative?

Positive. The product of even numbers of negative integers is always positive, whereas the product of odd nummbers of negative integers is always negative.


How can you tell from the number of factors when a product is positive or negative?

If you are multiplying negative numbers, an odd number of factors will have a negative product. An even number of factors will have a positive product.


How would you Explain how you would decide whether the product of three numbers is positive or negative?

If all three numbers are positive then the product obviously has to be positive. If TWO of the three numbers are negative, then the product is also positive. But if exactly ONE of the three numbers is negative or if all THREE are negative, then the product must be negative. In general, a product of numbers is negative if an ODD NUMBER of the terms is negative.


Is the product of three positive integers is positive?

No. Odd numbers of negative integers will have a negative product. Even numbers of negative integers will have a positive product.Examples-1 x -3 x -4 = -12-3 x -4 = 12