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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.
What 3 consecutive odd numbers equal 270?
The sum of three odd numbers is odd but 270 is even, therefore there are no three odd numbers that add to 270. Similarly the product of two of more odd numbers is odd but 270 is even, therefore there are no three odd numbers that multiply together to get 270.
What two consecutive number have a product of 324?
No two consecutive numbers have a product that is an even number. Any two consecutive numbers include one odd number and one even number. The product of one odd number and one even number is always an odd number.
Is the product of all prime numbers odd?
No. Since 2 is a prime and any number multiplied by an even is even, the product of all primes must be even.
What is a conjecture about the product of 2 odd numbers?
Their product will also be an odd number.
