Define a function in R that takes a number n as a parameter and prints the factors of the number n in the output.

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Also test the function for some sample values of n.

**Defining a Function in R to Print Factors**

To tackle this problem, we need to define a function in R that takes an integer `n` as a parameter. The function should calculate and print the factors of `n`. 

### Steps to Implement the Function:

1. **Initialize the Function**: Start by creating a function in R using the `function()` keyword.

2. **Parameter Setup**: The function should take a single parameter `n`.

3. **Find Factors**: Use a loop or vectorization to determine the factors of `n`. A factor is a number that divides `n` without leaving a remainder.

4. **Print Factors**: Display these factors using a print or return statement within the function.

### Example Function:

Here is a simple example of how to define such a function in R:

```r
factorize <- function(n) {
  factors <- NULL  # Initialize an empty vector to store factors
  for (i in 1:n) {
    if (n %% i == 0) {
      factors <- c(factors, i)  # Add factor to the list
    }
  }
  print(factors)
}

# Example Usage
factorize(12)
```

**Explanation**:

- **Loop**: The function utilizes a `for` loop from 1 to `n` to check each integer.
- **Modulo Operator**: `%%` is used to determine if the remainder of the division is zero.
- **Concatenation**: The factor is concatenated to the `factors` vector if it's valid.
- **Output**: Finally, it prints the list of factors. 

This is a basic implementation and can be optimized for performance with larger numbers or altered to include additional features such as returning the factors instead of printing them directly.
Transcribed Image Text:**Defining a Function in R to Print Factors** To tackle this problem, we need to define a function in R that takes an integer `n` as a parameter. The function should calculate and print the factors of `n`. ### Steps to Implement the Function: 1. **Initialize the Function**: Start by creating a function in R using the `function()` keyword. 2. **Parameter Setup**: The function should take a single parameter `n`. 3. **Find Factors**: Use a loop or vectorization to determine the factors of `n`. A factor is a number that divides `n` without leaving a remainder. 4. **Print Factors**: Display these factors using a print or return statement within the function. ### Example Function: Here is a simple example of how to define such a function in R: ```r factorize <- function(n) { factors <- NULL # Initialize an empty vector to store factors for (i in 1:n) { if (n %% i == 0) { factors <- c(factors, i) # Add factor to the list } } print(factors) } # Example Usage factorize(12) ``` **Explanation**: - **Loop**: The function utilizes a `for` loop from 1 to `n` to check each integer. - **Modulo Operator**: `%%` is used to determine if the remainder of the division is zero. - **Concatenation**: The factor is concatenated to the `factors` vector if it's valid. - **Output**: Finally, it prints the list of factors. This is a basic implementation and can be optimized for performance with larger numbers or altered to include additional features such as returning the factors instead of printing them directly.
Expert Solution
Step 1: R Code

Find_factors = function(n) {
print(paste("The factors of the",n,"are:"))
for(i in 1:n) {
if((n %% i) == 0) {
print(i)
}
}
}
Find_factors(15)
Find_factors(176)
Find_factors(120)

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