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Q: What is the the product of the greatest integer and the greatest power of each variable that divides evenly?
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What is the product of greatest negative integer and smallest positive integer?

The smallest positive integer is 1. 1 is the multiplicative identity; ie anything times 1 is itself. The greatest negative integer is the most positive negative integer which is -1. Therefore the product of the greatest negative integer and the smallest positive integer is the greatest negative integer which is -1.


What is the product of an integer and 0?

The product of anything and 0 is 0.


What is the product of a positive integer and a positive integer?

The product would be a positive integer.


What is the greatest positive integer formed by the product of four distinct prime numbers less than 14?

1001


Is the product of a rational number and an integer is not an integer?

True. In general, the product is not an integer.


Is the product of a negative and positive integer a negative?

Yes. The product of a negative integer and a positive integer is a negative integer.


What is the product of a negative integer and a negative integer?

A negative integer multiplied by a negative integer is always a positive integer product. -x * -y = xy


What can you say about the product of an integer and a positive integer?

-- The product is an integer. -- If the original two integers are both positive, then the product is positive. -- If the original two integers have different signs, then the product is negative.


When you multiply an integer less than 1 and an integer less than -1 what is the product?

2


What can you say about the product of a negative integer and a positive integer?

negative integer


How would you show that every positive integer can be written as the product of a power of 2 and an odd?

If P is a positive integer, then let 2n be the largest power of two that divides P. Then P = Q2n, where Q is the quotient of this division. Clearly Q is odd - for otherwise, 2 would divide Q, which would mean 2n + 1 also divides P, a contradiction.


Do Prove that the product of an integer and arbitrary integer is even?

The statement is not true. Disprove by counter-example: 3 is an integer and 5 is an integer, their product is 15 which is odd.