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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.

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โˆ™ 2011-05-14 15:22:41
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Q: How can the sum of 3 odd numbers is always odd?
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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).


Are odd numbers cannot be written as sum of prime numbers?

Some odd numbers can be written as the sum of prime numbers. 2 + 3 = 5


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.


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.


What 2 odd primes equal the sum of 10?

The prime numbers 3 an 7 are both odd and sum to 10.

Related questions

Will the sum of 3 odd numbers be even?

No, the sum of three odd numbers will always be odd.


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).


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


How do you divide 30 into 3 odd numbers?

I guess you want three odd numbers that, when added, give a sum of 30. That is not possible: if you add three odd numbers, the sum will always be 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...


Are odd numbers cannot be written as sum of prime numbers?

Some odd numbers can be written as the sum of prime numbers. 2 + 3 = 5


3 consecutive even numbers that have a sum of 3?

Sorry. No sum of even numbers can be an odd number.


The sum of 3 odd numbers is odd-true or false?

True.


What is the sum of the first three odd numbers?

The first three odd numbers are 1, 3, and 5. Their sum is 1 + 3 + 5 = 9.


Sum first 99 odd numbers?

9801 * The sum of the first two odd numbers (1+3) is 4, or 22 * The sum of the first three odd numbers (1+3+5) is 9, or 32 * The sum of the first four odd numbers (1+3+5+7) is 16, or 42 * ...and so on So the sum of the first 99 odd numbers, using the pattern above, would be 992 or 9801.


Is the sum of 3 numbers always odd?

No! 1 + 2 + 3 = 6 2 + 4 + 6 = 12 even


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.

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