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Not at all. Six times one half is three, and one half is not an integer.

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โˆ™ 2009-08-26 23:04:52
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Q: If the product of two numbers is an integer then the two numbers must be integer?
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What is THE product of aN integer?

It is not possible to have the product of an integer. "product" is a binary operation and that means that it is an operation that combines two numbers to make the product - a third number. So you need two numbers as input, not just one.


The largest integer that is not the product of two or more different primes?

The largest integer that is not the product of two or more different primes would be the largest prime number. Because there are an infinite number of prime numbers, there is no largest integer that is not the product of two or more different primes.


Why sum of two integers is an integer?

because an integer is a whole number. So the product must be a whole number.


Is the product of an integer is an integer?

The product of any two or more integers is an integer.


Is the product of two irrational numbers is an integer?

It can be, but need not be. [sqrt(5)+sqrt(2)] and [sqrt(5)-sqrt(2)] are both irrational. Their product is 5-2 = 3. The two numbers are conjugates of one another and the property that their product is an integer is used to rationalise denominator of surds.


Is the product of two perfect squares sometimes a perfect square?

yes..always a perfect square A perfect square is the product of an integer by itself. If you multiply a perfect square x² by another perfect square y² you get x²y² = x·x·y·y = x·y·x·y = (x·y)² which is a perfect square. Note that the product of two integers will also be an integer so x·y must be an integer because if x² and y² are perfect squares x must be an integer and y must be an integer and x·y is therefore a product of 2 integers.


What two even numbers total a odd product?

None. The sum or product of any two even numbers must be even.


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

no eg: 9x4=36


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.


What is the product of two numbers is zero?

One or both of the numbers must be zero.


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.


When finding the product of two mixed numbers the answer will always be?

Assuming the numbers are positive, the answer will be a mixed number that is greater than the integer parts of the two numbers and smaller than the product of one more than each of the two integer parts. The last part is: ax < ab/c * xy/z < (a+1)*(x+1)


Is the product of two rational numbers is rational?

Yes, it must be.


How the least common multiple of two numbers differs from the greatest common factor of the numbers?

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples. Since the product of the GCF and LCM of two numbers equals the product of the two numbers themselves, the GCF of two numbers will equal the product of the numbers divided by the LCM and the LCM of two numbers will equal their product divided by their GCF.


What can you say about the product of two positive integers?

The product will be a positive integer.It will be at least as large as the square of the minimum of the two numbers and at most as large as the square of their maximum.


Why is the product of any two rational numbers a rational number?

Rational numbers are represented in the form of p/q , where p is an integer and q is not equal to 0.Every natural number, whole number and integer can be represented as rational number.For example take the case of integer -3, it can be represented in the form of p/q as -3/1 and q is not equal to zero, which means that rational numbers consist of counting numbers, whole numbers and integers.Now, what will be the result of product of any two rational numbers?Let us take the case of two rational numbers which are x/y & w/z, their product is equal toxw/yz, which is a rational number because multiplication of x and w results in an integer and also multiplication of y and z results in an integer which satisfies the property of rational numbers, which is in the form of p/q.So, product of any two rational numbers is a rational number.


The product of two consecutive integers is 121 Find the numbers?

As there are two consecutive integers then one must be an even number and the other an odd number. If the numbers are y and y + 1 then if y is even, y + 1 is odd and if y is odd then y + 1 is even.The product of an even integer and an odd integer is always even.The question therefore has no answer.121 = 112 but this is not what the question has asked.


Why the product of two 2-digit numbers must be at least 100?

-98


Sets of numbers which has the property that the product of any two numbers in the set is also a number in the set?

Complex numbers, Real numbers, Rational numbers, Integers, Natural Numbers, Multiples of an integer.


How can you tell if two numbers are reciprocals?

If you multiply two reciprocals, their product must be 1.


What is always true about the product of 2 mixed numbers?

In any case, being the product of two rational numbers, it will also be rational. It can either be another mixed number, or it may happen to be an integer.


What is product of two numbers?

The product of two numbers is the answer to multiplying the two numbers together.


When two different prime numbers are multiplied can the product be a negative integer?

Since prime numbers are defined as positive integers, any product of prime numbers will be positive.


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

Not necessarily, but at least ''one'' of them must be even, unless the two numbers are both the (irrational) square root of the same even number.


If two positive numbers sum to N what must the numbers be so that their product is maximum?

Both must be the positive square root of N.

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