For this challenge you will use an algorithm to find all the factors of a given number.

**Factors**are numbers we can multiply together to get another number. For instance, factors of 15 are 1, 3, 5 and 15, because 1×15=15 and 3×5 = 15.

Your algorithm will be based on the **INPUT – PROCESS – OUTPUT** model:

**INPUT:**Ask the user to enter a number,**PROCESS:**Identify all the factors of this number,**OUTPUT:**Display all the factors of this number.

#### Flowchart

#### Task 1: Python Code

Your task is to implement your algorithm using Python code.

#### Task 2: Test Plan

Test # | Type of Test | Input Values | Expected Output | Actual Output |

#1 | Valid | 12 | 1,2,3,4,6,12 | |

#2 | Valid | 21 | 1,3,7,21 | |

#3 | Valid | 48 | 1,2,3,4,6,8,12,16,24,48 | |

#4 | Valid | 13 | 1,13 |

#### Task 3: Extension Task: Prime Number?

A

**prime number**is a number that**has exactly two factors**(1 and itself). Which means that a prime number can be divided evenly only by 1, or itself. A prime number must be a whole number greater than 1.How could you tweak this code to detect if a number is a **prime number** or not. If a number is a prime number your algorithm should display a message saying so.

#### Task 4: Extension Task: Simplifying a Fraction

Complete the following two challenges:

#### Solution...

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