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What number would be a counter example to the following conjecture. Prime numbers are odd?
The number 2 is even as well as prime.
When multiplying an odd number by an odd number why is the result odd?
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.
Is the product of any two prime numbers is always odd?
No, because 2 is prime. Otherwise the product of two odds is odd, and all primes are odd except 2.
Is the prduct of two prime numbers always even?
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
The sum of two consecutive odd numbers is the square of the product of the first and fourth prime numbers what are the two odd numbers?
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
What is a conjecture for multiplying two odd numbers?
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.
Is a Conjecture is false all prime numbers are odd?
All prime numbers are not odd. 2 is a prime, 2 is not odd.
What number would be a counterexample to the following conjecture Prime numbers are 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.
Is the product of 2 odd numbers always odd?
Yes.
Can product of 2 odd no be even?
The product of two odd numbers is never even.
Does the product of 2 odd numbers equal an odd number?
yes
Is the product of 2 prime numbers always even?
Both 3 and 5 are prime numbers. 3 x 5 = 15
What number would be a counter example to the following conjecture. Prime numbers are odd?
The number 2 is even as well as prime.
Can you tell if the product of several numbers will be even or odd?
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.
When multiplying an odd number by an odd number why is the result odd?
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.
Is the product of 2 consecutive numbers odd or even?
even
Is the product of any two prime numbers is always odd?
No, because 2 is prime. Otherwise the product of two odds is odd, and all primes are odd except 2.
