Best Answer

Their product will also be an odd number.

Q: What is a conjecture about the product of 2 odd numbers?

Write your answer...

Submit

Still have questions?

Continue Learning about Basic Math

The number 2 is even as well as prime.

The product of multiplication results in a number that has all of the factors of the two numbers being multiplied. All even numbers have the prime factor 2. Since no odd number has the factor 2, no product of those numbers can have it. So: - Odd numbers times odd numbers produce odd numbers. - Odd numbers times even numbers produce even numbers. - Even numbers times even numbers produce even numbers.

No, because 2 is prime. Otherwise the product of two odds is odd, and all primes are odd except 2.

No, as 2 is a prime number, the product of 2 prime numbers can be even But all other prime numbers (except 2) are odd then their product is odd (2 x n1+1) x (2 x n2+1) = 2 x (2 x n1 x n2 + n1+ n2) +1

Let n = smallest of the odd numbers, then let n+2 = the larger of the two numbers (Remember, 1 is not a prime number.) n+ n+2 = {(2)(7)}2 2n +2 = 142 2n = 196 -2 2n = 194 n = 97 n + 2 = 99

Related questions

One possible conjecture: The product is always an odd number. Another possible conjecture: The product is always greater than either of them. Another possible conjecture: Both odd numbers are always factors of the product. Another possible conjecture: The product is never a multiple of ' 2 '. Another possible conjecture: The product is always a real, rational number. Another possible conjecture: The product is always an integer.

All prime numbers are not odd. 2 is a prime, 2 is not odd.

2 would be a counterexample to the conjecture that prime numbers are odd. 2 is a prime number but it is the only even prime number.

Yes.

The product of two odd numbers is never even.

yes

No, the product of 2 prime numbers is not always even. If one of the prime numbers is 2, then the product will be even. However, if both prime numbers are odd, then the product will be odd.

The number 2 is even as well as prime.

Yes it is possible to determine if a product will be even or odd. To do this, we need to consider what an even number is. Even numbers are numbers with at least one factor of 2 (meaning they are divisible by 2). Thus, any product of numbers which contains at least one even number will result in an even product. If all of the numbers being multiplied together are odd, the product will be odd. If one or more of the numbers is even, the product will be even.

The product of multiplication results in a number that has all of the factors of the two numbers being multiplied. All even numbers have the prime factor 2. Since no odd number has the factor 2, no product of those numbers can have it. So: - Odd numbers times odd numbers produce odd numbers. - Odd numbers times even numbers produce even numbers. - Even numbers times even numbers produce even numbers.

even

No, because 2 is prime. Otherwise the product of two odds is odd, and all primes are odd except 2.