When two odd numbers are multiplied together, the result is always an odd number. Thus (n + 1)(m + 1) must be an odd number. Because n and m are even, when we multiply two even numbers together, we always get an even number.
What is the quotient of two odd numbers?
The quotient of two odd functions is an even function. The sum of two distinct odd numbers is even. The sum of two distinct even numbers isn’t odd but even.
Is the greatest common factor if an odd number and an even number?
Obviously then, the common factors of an even number and an odd number are all odd. So the HCF of an even number and an odd number is always odd. In some cases, the HCF (Highest Common Factor) of an even number N and an odd number M is 1, and in that case M and N are said to be coprime.
Is the product of three odd numbers an odd number?
The product of three odd numbers is odd. Example: 3 × 7 × 9 = 189 i.e is odd number. (d) False. If an even number is divided by 2, the quotient is even. (e) False, All prime numbers are not odd. Example: 2 is a prime number but it is also an even number. (f) False. Since, 1 and the number itself are factors of the number (g) False.
Is the sum of two odd numbers an even number?
The sum of two odd numbers and one even numbers is even. Example: 3 + 5 + 8 = 16 i.e is even number. (c) True. The product of three odd numbers is odd. Example: 3 × 7 × 9 = 189 i.e is odd number. (d) False. If an even number is divided by 2, the quotient is even. (e) False, All prime numbers are not odd.
Is the multiplication of two odd numbers an odd number?
The above equation can be re-written as: Thus, the multiplication of two odd number results is an odd number. Division of two odd numbers always results in Odd number if and only if the denominator is a factor of the numerator, or else the number result in decimal point number.
