How many divisors of N = 420 will be of the form `(4 n + 1)` where n is a whole number?

How many divisors of N=420 will be of the form (4n+1) where n is a whole number?

Use Euclid's division lemma to show that the square of any positive integer is of the form 5n or 5n+1 or 5n+4, where n is a whole number.

Total number divisors of 480 that are of the form 4n+2, n ge 0 , is equal to

Consider the following statements : 1. If n is a prime number greater than 5, then n^(4) - 1 is divisible by 2400. 2. Every square number is of the form 5n or (5n - 1) or (5n + 1) where n is a whole number. Which of the above statements is/are correct ?

The largest number that exactly divides each number of the form n^3 - n , where n is a natural number , is :

Total number of divisors of 480 that are of the form 4n+2, n ge 0 , is equal to

How many even integers n;13<=n<=313 are of the form of 3k+4, where k is any natural number?