answersLogoWhite

0


Best Answer

Suppose m and n are integers. Then 2m + 1 and 2n +1 are odd integers.(2m + 1)*(2n + 1) = 4mn + 2m + 2n + 1 = 2*(2mn + m + n) + 1

Since m and n are integers, the closure of the set of integers under multiplication and addition implies that 2mn + m + n is an integer - say k.

Then the product is 2k + 1 where k is an integer. That is, the product is an odd number.

User Avatar

Wiki User

7y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why is an odd number times an odd number an odd number?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Is an odd number times an eveen number always even?

Yes. Odd times odd is odd. Odd times even is even. Even times even is even.


Is an odd number times an odd number always an odd answer?

Yes, it is.


What is odd x odd?

An odd number times an odd number is an odd number no matter which 2 odds you multiply.


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.


Why does five have even and odd multiples?

That happens because 5 is an odd number. An odd number times an odd number will give you an odd product; an odd number times an even number will give you an even product. The same happens for the multiples of any other odd number.


When you times an odd by an even do you always get an odd number?

No. In fact, you NEVER get an odd number.


Is 46 an odd number?

no, an odd number is a number that is not in the 2 times table


The Product of an odd number and an even number is?

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 odd.


What is the product of and 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 times odd is odd.


What times table has only odd answers?

sorry there is no times table that all have odd number.


What is true about the product of an odd and an 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 will be 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.