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# Why is the product of two odd numbers odd?

Updated: 9/14/2023

Wiki User

11y ago

Let me show this to you by an example :

Suppose we wish to multiply 3 and 7. Product or Multiplication by any device is actually carried by the process of addition of 3 seven times, i.e. 3+3+3+3+3+3+3 = 21. Because the two numbers are odd, the result is always odd.

To Summarize, addition of an odd number(i.e. 3) to itself an odd number of times(i.e. 7) always results in an odd number.

The product of an even and an odd number always results in an even number because addition of even number any number of times is always even and an odd number added to itself an even number of times also results in an even number.

For ex. 7*2 = 14, here 7(odd number) is added 2(even number) times, i.e. 7+7=14 which is even.

Wiki User

11y ago

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Q: Why is the product of two odd numbers odd?
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Related questions

### What is the product of two odd numbers?

The product of two odd numbers is always an odd number.

### Is the product of two odd numbers odd or even?

The product of two odd numbers is always odd.

### What are two odd numbers that make the product of an even number?

No such numbers exist; the product of two odd numbers is always odd.

### When the factors are odd the product answer always will be?

The product of two odd numbers is always odd.

### Which pair of numbers has an odd product and an even sum?

Any two odd numbers will have an odd product and an even sum.

### What do you predict about the product of any two odd numbers?

The product of odd number is always odd.

### Is the roduct of two odd numbers even or odd?

I guess you mean "product" - the product of two odd numbers is odd. (For example, 3x3=9, 5x3=15, etc.

### Can product of 2 odd no be even?

The product of two odd numbers is never even.

### What is the product of any two odd numbers?

The product of any two odd numbers is an odd number. The product means that it is the outcome of a multiplication. 3 * 5 = 15, 5 * 7 = 35.

no

an odd number

### What number is the product of the same two odd numbers and sum to 7?

No two odd numbers can sum to 7.