None.
The sum of any two odds must be even. The sum of any two evens must be evens so the sum of any number of evens must be even.
So the sum of 6 odds = sum of 3 pairs of evens = ie sum of 3 evens even + even + even = even
13 is odd and the sum of 6 odds is even so there is no way that one can be made the same as the other.
One... numbers
24 ways
I count 5, not counting the different orders that they are added as different ways. Here they are. If I missed some, then somebody else can add to it:3 + 3 + 3 + 3 + 1 = 133 + 3 + 5 + 1 + 1 = 135 + 5 + 1 + 1 + 17 + 3 + 1 + 1 + 19 + 1 + 1 + 1 + 1If you want to count different orders as unique, For #1, there are 4 additional ways (I wouldn't say that the different 3's are unique, so the 1 in each position).For #2, I count 13 additional ways. For # 3, I count 8 additional. For #4, I count 7 additional ways. And for #5, I count 4 additional ways. So that would be 36 additional ways, rearranging the orders, for a total of 41 ways.
12
120
The number 160 can be obtained purely from prime numbers thus: (23+17+3-19)x(5x5). The result from the first bracket is 24, and from the second is 25, and 24x25 is 600. There are very many ways 600 can be arrived at starting only with prime numbers
With whole numbers, there are five ways.
One... numbers
60 ways.
120 ways
24 ways
There are an infinite number of ways in which the number 100 can be obtained from mathematical operations.
I count 5, not counting the different orders that they are added as different ways. Here they are. If I missed some, then somebody else can add to it:3 + 3 + 3 + 3 + 1 = 133 + 3 + 5 + 1 + 1 = 135 + 5 + 1 + 1 + 17 + 3 + 1 + 1 + 19 + 1 + 1 + 1 + 1If you want to count different orders as unique, For #1, there are 4 additional ways (I wouldn't say that the different 3's are unique, so the 1 in each position).For #2, I count 13 additional ways. For # 3, I count 8 additional. For #4, I count 7 additional ways. And for #5, I count 4 additional ways. So that would be 36 additional ways, rearranging the orders, for a total of 41 ways.
I'm not sure what you mean. But the factorization of a composite number into prime factors is unique, up to the ordering of the primes.
12
We use, in many remarkable ways, the [Spectrophic] Light obtained by telescopes.
There is an infinite number of ways three numbers can have the sum of 11