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When is the product of a negative integer and positive integer greater than both of its factors?
Always.
Why cant a negative integer be greater than a positive integer?
By definition, a negative integer is any integer less than zero. Similarly, a positive integer is any integer greater than zero. It should be immediately obvious that an integer cannot be both less than and greater than zero. Therefore, a negative integer cannot be greater than a positive integer.
What is the smallest square number that has both 2 and 5 as factors?
It is: 100
What integer is greater than 10 but less than negative 15?
There is no integer that is greater than 10 and less than negative 15, as these two conditions cannot be satisfied simultaneously. The range of integers greater than 10 starts at 11, while those less than negative 15 start at -16. Therefore, no integer exists that meets both criteria.
What is special about the number sixty four?
It is the smallest composite number that is both a perfect square and a perfect cube.
What is the smallest integer greater than 1 that is both a perfect square and perfect cube?
its 81
What is the smallest number greater than 1 that is both triangle and square?
The answer is 36...Triangle = 1,3,6,10,15,21,28,36Square = 1,4,9,16,25,36
Is there a prime factor greater than the square root of an integer?
No there is not. If you are looking for prime factors of a number and you get to the square root of that number you can stop. Yes, there is. If an integer is not itself a prime, then one of its factors will be less or equal to its square root and the "co-factor" will be greater than or equal to the square root. But both cannot be greater than the square root so, when searching for factors, you can stop when you reach the square root.
How many integers are there in the greatest negative integer and the smallest positive integer?
Infinitely many in both cases.
Will the square root of an integer always be an integer?
No, the square root of an integer will not always be an integer. It may or may not be. The square root of nine is three, both of which are integers. The square root of two is not an integer. In fact, it is not even a rational number.
When is the product of a negative integer and positive integer greater than both of its factors?
Always.
Why cant a negative integer be greater than a positive integer?
By definition, a negative integer is any integer less than zero. Similarly, a positive integer is any integer greater than zero. It should be immediately obvious that an integer cannot be both less than and greater than zero. Therefore, a negative integer cannot be greater than a positive integer.
Is the square root of 225 an integer?
Yes; the square root of 225 is both a positive and a negative 15. Therefore, the square root of 225 is an integer.
What is an integer smaller than negative 15 and greater than 10?
There is no integer that satisfies both of those conditions.
Is the Greatest common factor of a pair of numbers even greater than both numbers?
No, the greatest common factor is never greater than the smallest number. The greatest common factor is the largest integer that divides evenly into all of the numbers listed.
When is a product of a negative integer and positive integer less than both of its factors?
When its multiplied by anything greater than one
What even integer is greater than -8 and less than -2?
-6
