0
Add your answer:
Earn +20 pts
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
Why is the product of two consecutive numbers is always odd?
When multiplied together, an odd number and an even number will always produce an odd number. Two consecutive numbers consist of one odd number and one even number, so their product is always an odd number. N-n-n-no! Any number multiplied by an even number yields an even product. Ever;y even number can be expressed as 2*M for some M. If we multiply 2*M by Y, the product is 2*M*Y = 2*(M*Y) which is even. So the right answer is: They don't! The product of two consecutive numbers is always even. Regards, Bill Drissel
What do you get when you add an even number and an odd number?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even plus odd is odd.
What do you get when you multiply an odd number an a even number?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Odd times even is even.
Why even divided by odd equal even?
Odd numbers do NOT have a factor of 2. When an Even number is divided by an Odd number with no remainder, the prime factors of the divisor cancel out the prime factors of the dividend, but there will be no prime 2 to cancel the prime factor of 2 in the dividend leaving the the quotient to have a factor of 2, and so will be Even. --------------------------------------------------------- Alternatively, consider what happens when you multiply Odd and Even numbers: Odd × Odd = Odd Odd × Even = Even Even × Even = Even The result is Even ONLY if at least one of the numbers multiplied together is Even. Thus if you divide an Even number by an Odd number, the result must be Even. Also consider that Odd times Odd is Odd. Multiplication is the inverse of division, so if you have: dividend ÷ divisor = quotient then dividend = quotient × divisor Now, if the divisor is Odd and the quotient is Odd, the the Dividend MUST be Odd (since Odd × Odd = Odd). Thus if the Dividend is Even and the Divisor is Odd, then the Quotient must be Even.
Is it possible that 2 odd numbers is being multiplied and you get even number?
No. even and even or even and odd give even only
Why don't all even numbers have only even numbers for factors?
Because an even number times an odd number is an even number. Any even number multiplied by an odd number produces another even number. So the odd number that you multiplied by becomes a factor of the bigger even number. 3 x 2 = 6 6 is an even number, but one of its factors is 3 .
What is an even number and a square number?
An even number is any integer that can be divided by two evenly. A square number is any integer multiplied by itself. 2 is even 3 is odd 4 is even and a square of 2 9 is odd and a square of 3 The square of any even number will itself be an even number, and the square of any odd number will itself be an odd number.
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
When you multiply two prime numbers you always get an odd number?
For 'odd' prime numbers this is true, but '2' is also a prime number , so you will have an even answer. Remember when multiplying even X even = even even X odd = even odd X even = even odd x odd = odd.
Can an even number have odd factors?
2 X 7 = 14 2 X 3 = 6 Yes. The only rule is that when a number is multiplied by an even, it will always be an even number.
Why is the product of two consecutive numbers is always odd?
When multiplied together, an odd number and an even number will always produce an odd number. Two consecutive numbers consist of one odd number and one even number, so their product is always an odd number. N-n-n-no! Any number multiplied by an even number yields an even product. Ever;y even number can be expressed as 2*M for some M. If we multiply 2*M by Y, the product is 2*M*Y = 2*(M*Y) which is even. So the right answer is: They don't! The product of two consecutive numbers is always even. Regards, Bill Drissel
Is the greatest common factor of two even numbers always even?
Assuming the second even number is equal to 4 or greater, than the highest common factor of the two numbers is equal to an even number 2 or greater. Why can't an odd factor be used? Any odd factor must be multiplied by (at least) 2 to create an even product (ie. the 1st even number). That same odd factor must be multiplied by (at least 2) and any other number to create a 2nd even product, thereby making the Greatest Common Factor (at least) 2 times the odd number....which is an even number.
When multiplying an odd number by an odd number why is the result odd?
The product of multiplication results in a number that has all of the factors of the two numbers being multiplied. All even numbers have the prime factor 2. Since no odd number has the factor 2, no product of those numbers can have it. So: - Odd numbers times odd numbers produce odd numbers. - Odd numbers times even numbers produce even numbers. - Even numbers times even numbers produce even numbers.
Is a odd number times a even number a odd number?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Odd times even is even.
What do you get when you add an even number and an odd number?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even plus odd is odd.
An odd number plus an odd number is what kind of number?
An odd number plus an odd number will be an even number. Odd number A is (even number + 1) Odd number B is (even number + 1) A + B = (even number + 1) + (even number + 1) = even number + even number + 2 Since all even numbers are divisible by 2 and 2 is divisible by 2, each part of the result is divisible by 2, so the sum as a whole is divisible by 2, which means it is an even number.
