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Positive integer whose sum is 14 have the smallest product?

To find positive integers that sum to 14 and have the smallest product, we can use the fact that the product of numbers is minimized when the numbers are as far apart as possible. The optimal way to split 14 is into one integer of 1 and the other of 13, resulting in the integers 1 and 13. The product of these two integers is (1 \times 13 = 13), which is the smallest possible product for integers that sum to 14.


What 2 positive integers whose sum is 14 have the smallest product?

1 and 13.


What is the sign of the product of three positive integers and five negative integers?

The product of three positive integers is positive, and the product of five negative integers is negative. When you multiply a positive number by a negative number, the result is negative. Therefore, the sign of the product of three positive integers and five negative integers is negative.


What will be the sign of the product if we multiply 90 negative integers and 9 positive integers?

The product of any number of negative integers is positive if there is an even count of them, and negative if there is an odd count. Since 90 is an even number, the product of the 90 negative integers will be positive. When this positive product is multiplied by the 9 positive integers, the overall product remains positive. Therefore, the sign of the product will be positive.


Is the product of 3 positive integers positive?

It may be either. If any of the integers is zero, the product will be zero. Else, if one or three of the integers is negative, the product will be negative. Otherwise, it will be positive.

Related Questions

Positive integer whose sum is 14 have the smallest product?

To find positive integers that sum to 14 and have the smallest product, we can use the fact that the product of numbers is minimized when the numbers are as far apart as possible. The optimal way to split 14 is into one integer of 1 and the other of 13, resulting in the integers 1 and 13. The product of these two integers is (1 \times 13 = 13), which is the smallest possible product for integers that sum to 14.


What 2 positive integers whose sum is 14 have the smallest product?

1 and 13.


Which two positive integers whose sum is 24 have the smallest product?

8+4=12


What is the sign of the product of three positive integers and five negative integers?

The product of three positive integers is positive, and the product of five negative integers is negative. When you multiply a positive number by a negative number, the result is negative. Therefore, the sign of the product of three positive integers and five negative integers is negative.


What will be the sign of the product if we multiply 90 negative integers and 9 positive integers?

The product of any number of negative integers is positive if there is an even count of them, and negative if there is an odd count. Since 90 is an even number, the product of the 90 negative integers will be positive. When this positive product is multiplied by the 9 positive integers, the overall product remains positive. Therefore, the sign of the product will be positive.


Is the product of 3 positive integers positive?

It may be either. If any of the integers is zero, the product will be zero. Else, if one or three of the integers is negative, the product will be negative. Otherwise, it will be positive.


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.


What is the smallest possible digit sum amongst all integers whose product of their digits equals 2025000?

43


Is the product of two positive integers always positive?

No the product of two integers will not always be a positive, because if you multiply a positive and a negative you'll get a negative.


What five positive integers whose product is 48 have the smallest sum?

2, 2, 2, 2 and 3. Sum = 11


What is the product of two negative integers?

The product of two negative integers is positive as for example -4 times -5 = 20


The product of any two integers is a positive integer?

No, if a negative integer is multiplied by a positive integer, the product is negative. However, if both of the integers are either positive or negative, the product is positive.