Please do this in R programming language.

Write three separate R codes for the following problem using (a) for loop, (b) while loop and (c) repeat loop.

Create a function that given an integer will calculate how many divisors it has (other than 1 and itself). Check your output using few random values.

Hints:

1) [function: output vector with unknown length]

2)

You may start with an empty output vector as

a = numeric(0)

Then, add a new divisor b using

a = c(a, b)