0
Still curious? Ask our experts.
Chat with our AI personalities
Taiga
Judy
LaoThere is no number that is both even (divisible by 2) and odd (not divisible by 2).
Even numbers are of the form 2m for all integer m;
Odd numbers are of the form 2n + 1 for all integer n;
Assume there is an even number is also an odd number, then for some integer m and n:
2m = 2n + 1
� 2m - 2n = 1
� 2(m - n) = 1
� m - n = 1/2
But as m and n are both integers, their difference cannot be a fraction.
Thus there are no integer m and n that satisfy 2m = 2n + 1, which means that the original assumption that there is an even number that is also an odd number is false.
Thus there is no number that is both even and odd.
This question is actually a riddle. The answer is 6 or 9, since flipping either number will give you the other.
It is a trick question. The answer is 2. 2 is an even number. 2 is also a Prime number but the only even prime number making it odd.
Add your answer:
Earn +20 pts
What is a number that is both even and odd?
1
Does multiplying an odd number by an even number give an even answer?
odd * odd = odd answer even * even = even answer odd * even = even answer
What type of number has odd numbers as factors?
Both odd and even numbers may have odd numbers as factors.
Why when you multiply an odd number with another odd number the result is a odd number?
yes, the product of 2 odd numbers is always an odd number. Well, the question is why. The first number is "even" + 1. Multiply both of these by your odd number. Now the "even" times "odd" is even, because every "1" in the odd number becomes a "2". And then the remaining 1 times "odd" must be odd, which is an even +1. Add it all up and you get evens everywhere except that final "1". So the result is even + 1 which is odd. There is a quicker way if you know how to multiply bracketed terms: odd x odd = (even + 1)x(even +1)= even x even +even +even +1 = must be odd.
Is the sum of an odd number and an even number odd or even?
Odd
