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Is there an even number which can be written as the sum of four odd primes?
Prime numbers can only be odd, otherwise they'd be divisible by two, and thus not prime. But, as an example: 1 x 3 x 5 x 7= 105. (odd) An odd times an odd is always odd. Since primes are by definition odd, one cannot multiply four prime numbers and get anything other than an odd number, as each step produces an odd number. Thus a multiplicative sum of four primes is always odd. If by a sum you actually mean addition, then anytime you add two odd numbeers you get an even number, so any four prime numbers will give you an even result every time, and one answer is above. I assume you are only dealing with real numbers.Another Answer:Except for the number 2, which is even and prime, all prime numbers are odd. The sum of any two odd numbers is even, and the sum of any two even numbers is even, so the sum of any four odd numbers is also even. There are an infinite number of even numbers that can be written as the sum of four odd prime numbers. The first example is 3 + 5 + 7 + 11 which equals 26 or, in the full case, 3 + 3+ 3 + 3 which equals 18.
Why can't 3 odd numbers equal 50?
3 odd numbers can't be equal to 50 because: odd number + odd number = even number even number + odd number = odd number thus, adding 3 odd numbers will always give a sum which is an odd number too even number.
What 3 odd prime numbers have sum 32?
That isn't possible. The sum of three odd numbers will always be odd. You can make the sum of 3 prime numbers equal to 32 if one of them is 2 (which is not odd).
What 6 digits from the number 9999555533331111 have the sum of 21?
this would be explained on the basis of two FACTS below....... sum of two odd numbers are always even and sum of to even numbers are also always even then how 6 odd numbers (consider 3 pairs, 9 5 3 1 being odd numbers) can make an odd number 21..!! SO SIMPLE Make your basics strong...
How can the sum of 3 odd numbers is always odd?
When you add an odd number to an odd number, you get an even number. When you add an odd number to that even number, the sum is always odd. Don't believe it? Try a few examples yourself.
Will the sum of 3 odd numbers be even?
No, the sum of three odd numbers will always be odd.
3 consecutive even numbers that have a sum of 3?
Sorry. No sum of even numbers can be an odd number.
The sum of two odd numbers is always odd true or false?
False. The sum of 3 and 3 is 6. And 6 is even. The product of two odd numbers is always odd. false the sum of 2 odd numbers is always even 3+3=6 5+5=10 103+103=206
What 3 consecutive odd numbers total 270?
The sum of two odd numbers is even and the sum of an even number and an odd number is odd.So the sum of three consecutive odd numbers is odd but 270 is even.Ergo there are no three consecutive odd numbers that sum to 270.Three consecutive numbers that sum to 270 are 89, 90, 91.Three consecutive even numbers that sum to 270 are 88, 90, 92.
If the sum of two numbers is even then the two numbers must be even?
If the sum of two numbers is even, the two numbers are either both even or both odd. A few examples:2 + 4 = 6 (even + even = even)2 + 3 = 5 (even + odd = odd)5 + 2 = 7 (odd + even = odd)7+13 = 20 (odd + odd = even)
Is there an even number which can be written as the sum of four odd primes?
Prime numbers can only be odd, otherwise they'd be divisible by two, and thus not prime. But, as an example: 1 x 3 x 5 x 7= 105. (odd) An odd times an odd is always odd. Since primes are by definition odd, one cannot multiply four prime numbers and get anything other than an odd number, as each step produces an odd number. Thus a multiplicative sum of four primes is always odd. If by a sum you actually mean addition, then anytime you add two odd numbeers you get an even number, so any four prime numbers will give you an even result every time, and one answer is above. I assume you are only dealing with real numbers.Another Answer:Except for the number 2, which is even and prime, all prime numbers are odd. The sum of any two odd numbers is even, and the sum of any two even numbers is even, so the sum of any four odd numbers is also even. There are an infinite number of even numbers that can be written as the sum of four odd prime numbers. The first example is 3 + 5 + 7 + 11 which equals 26 or, in the full case, 3 + 3+ 3 + 3 which equals 18.
Why can't 3 odd numbers equal 50?
3 odd numbers can't be equal to 50 because: odd number + odd number = even number even number + odd number = odd number thus, adding 3 odd numbers will always give a sum which is an odd number too even number.
What 3 even numbers added together make an odd number?
There are never 3 even numbers that add up to an odd number because all of the numbers are even so the result/sum will have to be an even number.
What 3 odd prime numbers have sum 32?
That isn't possible. The sum of three odd numbers will always be odd. You can make the sum of 3 prime numbers equal to 32 if one of them is 2 (which is not odd).
What 6 digits from the number 9999555533331111 have the sum of 21?
this would be explained on the basis of two FACTS below....... sum of two odd numbers are always even and sum of to even numbers are also always even then how 6 odd numbers (consider 3 pairs, 9 5 3 1 being odd numbers) can make an odd number 21..!! SO SIMPLE Make your basics strong...
How can the sum of 3 odd numbers is always odd?
When you add an odd number to an odd number, you get an even number. When you add an odd number to that even number, the sum is always odd. Don't believe it? Try a few examples yourself.
How can you determine whether the sum of several numbers such as 13 45 24 17 is even or odd without actually calculating the sum?
Well, honey, all you need to do is check the last digit of each number. If there's an odd number of odd digits, the sum is odd. If there's an even number of odd digits, the sum is even. So, in this case, 13 and 17 are odd, and 45 and 24 are even, which means the sum is odd without adding them all up. Easy peasy, lemon squeezy!
