0
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.
Add your answer:
Earn +20 pts
What does odd divided by odd always equal?
The result will always be an odd number.
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.
Is 27 odd or even?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. 27 is an odd number.
Is 333 even or odd?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. 333 is an odd number.
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.
What does odd divided by even always equal?
Odd divided by even will always be a decimal. The answer will not be an integer.
Can an even and odd number equal 24?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. An even and an odd can never equal 24.
What makes a number even or odd?
An even number is a number that can be equally divided into two parts, an odd number, however, can not be divided into two equal parts,.
Well you get a number say 16 divide it by 3 if the answer is an even number then that is the rule?
5.3333
Why are even numbers called even?
This is just an arbitrary convention, based perhaps on the fact that each 'even' number can be divided into equal portions. The 'odd' numbers are not curious in any manner other than they can be only be divided into equal groups of 'odd' numbers. e.g. 15 may be divided into 5 groups of 3. BUT 7 cannot be divided into an equal number of groups.
What odd number when divided in half is even?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. No odd number divided by 2 is even.
What is the sum of an even and odd?
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 does even plus odd?
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 even.
What is the product of an even and odd?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even times odd is even.
Which numbers can be divided by 5 odd or even?
10 can be divided by 5. 10 is even. 15 can be divided by 5. 15 is odd. So some of the numbers that can be divided by 5 are odd and some are even.
What does odd divided by odd always equal?
The result will always be an odd number.
What decimals are odd and even?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. No decimals will be odd or even.
