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.
Yes. The square of an odd number is odd. So, if a, b and c are odd then a2, b2 and c2 are also all odd. But the sum of two odd numbers must be even. So for these to be Pythagorean, all three squares cannot be odd. Thus there are no odd triplets.
35
Alternating. 1 2 3 4 5 6 7 8 9 in row 3, (7,8,9) the 8 is even and the 7 and 9 are odd. thus odd,even,odd. in column 3, (3,6,9) the 6 is even and the 3 and 9 are odd, thus odd,even,odd. as the row/column selector (3) is odd the first digit in that row/column of a 3X3 grid will be odd as will the first. the numbers then alternate even odd even.
The only even prime is 2. The rest are all multiples of 2, and thus cannot be prime.
35
No. An odd plus an odd is even, and an even plus an odd is odd. Thus, you will always end up with an odd number if you add only three odd numbers together, and 50 is even.
Odd numbers are those divided by two with remainder. Thus, between 5 and 8 there is be only one odd number 7.
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.
All even numbers except 2 are divisible and thus not prime. There is no such number for odd numbers, and there is in fact just one even prime and infinitely many odd primes.
The only way to get an odd product when multiplying two whole numbers is when both of them are odd. Thus, in your example, the only way is by choosing the odd numbers 7 and 5, whose product is 35.
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Yes. The square of an odd number is odd. So, if a, b and c are odd then a2, b2 and c2 are also all odd. But the sum of two odd numbers must be even. So for these to be Pythagorean, all three squares cannot be odd. Thus there are no odd triplets.
Other than the number 2, all other prime numbers are odd. As 469 is odd then it must be formed by the addition of an even number (2) and an odd number (467). The two prime numbers are thus 2 and 467.
Yes, the factors of all odd numbers are odd numbers.
Except for 2 all other prime numbers are odd. Otherwise, they would be divisible by 2 (and thus not a prime number). This does NOT mean that all odd numbers are prime, but that all prime numbers (aside from 2) are odd.
35