It will be quicker to try different powers of two, and seeing if the remainder is prime.
127 = 1 + 126, 126 isn't prime
127 = 2 + 125, 125 isn't prime
127 = 4 + 123, 123 isn't prime
127 = 8 + 119, 119 isn't prime
127 = 16 + 111, 111 isn't prime
127 = 32 + 95, 95 isn't prime
127 = 64 + 63, 63 isn't prime
127 < 128, so all the possibilities are exhausted.
So, 127 can't be expressed as a sum of a prime and a power of two.
If the number can be written as 2*3*5 it cannot be prime!
To find the prime factor form of a number, you need to divide it by prime numbers until no more divisions are possible. In this case, the digit sum of 729 is 9, so we know we can divide it by 9 (3x3). If we do this, we get 81. This is known from times tables to be 9x9. Thus the prime factorization of 729 is 3x3x3x3x3x3. This can also be written in prime power form as 36
It is a true statement.
Those are composite numbers.
None: 17 is a prime number.
73/353 cannot be further simplified. 353 is a prime number.
2 x 31 = 62. You can write them all to the power of 1, but it's not necessary.
Since 593 is a prime number, its square root will be written as the square root of 593.
Any prime number to the eighth power, like 256 or 6561.
5 is already prime.
None: 31 is a prime number.
Exactly as it is because 31 is a prime number