Prime Factorization

Welcome to the Prime Factorization app! This guide will help you navigate the app and efficiently break down numbers into their prime factors.

Input Numbers to Factorize

• Enter the numbers you want to factorize into the input field. You can enter multiple numbers, separated by spaces.
• Example: 45 60 101 – the app will factorize each number individually.

View Prime Factors

• After inputting the numbers, the app will automatically display their prime factorizations in a clear, structured format.
• For example, inputting 60 will return 60 = 2 × 2 × 3 × 5, where each factor represents a prime number that divides the input.

Multiple Numbers at Once

• The app allows you to input several numbers simultaneously, and it will factorize each one independently.
• Example input: 45 60 80 – the app will return the prime factorizations for all these numbers.

Detailed Results

• Numbers that are divisible by the current prime, as well as primes that divide all numbers, are highlighted in color
• The app not only shows the prime factors but also provides additional useful information:
• Least Common Multiple (LCM): The smallest number that is divisible by all input numbers.
• Greatest Common Divisor (GCD): The largest number that divides all input numbers without leaving a remainder.
• Coprime Sets: Displays pairs or groups of numbers that are relatively prime (i.e., their GCD is 1).

These additional results help in understanding the relationship between numbers and can be especially useful in mathematical problem-solving, such as simplifying fractions or solving equations.

Modify Inputs

• To factorize new numbers, simply clear the input field and enter the new values. The results will update in real-time.

Understanding Prime Factorization

• Prime factorization breaks a number down into its smallest prime components. This is helpful in understanding number properties, simplifying fractions, and solving mathematical problems.