Find the number of Prime Factor of $${(4^{22}+{4^{22}}+{4^{22}}}+{4^{22})}{(3^{22}+3^{22}+{3^{22}})}$$.

The difference between the greatest and the least four-digit numbers that begins with 3 and ends with 5 is: 

The greatest number that can be subtracted from 10000 so that the remainder may be divisible by 32, 36, 48 and 54 is:

If the arithmetic means of 3a and 4b is greater than 50, and a is twice b, then the smallest possible integer value of a is: 

The difference between the greatest and least five-digit numbers formed by the digits 2,5,0,6,8 is (repetition of digits are not allowed) 

The number of integers in between 100 and 600, which are divisible by 4 and 6 both, is: 

N is the smallest three digit prime number. When N is divided by 13, then what will be the remainder? 

Divide 32 into two parts such that the sum of the square of the parts is 674 what is the value of the parts?