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Any two odd numbers will have an odd product and an even sum.
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∙ 12y ago
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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.
Which pair of numbers has an even product and an odd sum?
Any pair of one even and one odd number will have an even product and an odd sum.
How are the sum and product of each pair of numbers related?
They have the same parity (odd or even).
Is the product of two odd numbers odd or even?
The product of two odd numbers is always odd.
Which pair of numbers has an odd product and an even sum 471013?
How about: 47*13 = 611 and 47+13 = 60
Can product of 2 odd no be even?
The product of two odd numbers is never even.
Which pair of numbers has an odd product and an even sum 6 9 12 15?
Must be the 2 odd numbers, 9 & 15 (P = 135, S = 24)
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.
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.
How could you determine whether a sum of numbers such as 127 plus 38 is even or odd?
The parity rules are: Odd + Odd = Even Even + Even = Even Odd + Even = Odd Even + Odd = Odd So the parity where one number is even is that of the other number. This means that you can go through a list of numbers and ignore all the even numbers. Every PAIR of odd numbers has even parity and by the previous paragraph, even parity can be ignored. So you can pair off odd numbers and ignore them.
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 is the result of product of even numbers and odd numbers?
If you multiply one even number by one odd number, the result is always even. In general, if you multiply several numbers, and at least one of the numbers is even, the product is always even. This is because "even" means "multiple of 2", and if one of the factors contains a 2 as a factor, so will the product.
How would you describe the rule for determining whether the product of many natural numbers is even or odd?
I would describe the rule as one of the simplest possible.The product is odd only if each of the natural numbers is odd. If any one of them is even, the product is even.I would describe the rule as one of the simplest possible.The product is odd only if each of the natural numbers is odd. If any one of them is even, the product is even.I would describe the rule as one of the simplest possible.The product is odd only if each of the natural numbers is odd. If any one of them is even, the product is even.I would describe the rule as one of the simplest possible.The product is odd only if each of the natural numbers is odd. If any one of them is even, the product is even.
