How to reverse factorization

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago
Reversing factorization involves taking a number that has been broken down into its prime factors and putting it back together into its original form. To reverse factorization, you can follow these steps:

1. Look at the prime factors that were identified during the factorization process. These primes are the building blocks that were used to break down the original number.

2. Take each prime factor and determine how many times it was multiplied to get to the original number. This is known as the exponent or power of each prime factor.

3. Use the exponent of each prime factor to reconstruct the original number by multiplying the prime factors together the appropriate number of times.

4. Once you have multiplied all the prime factors together with their respective exponents, you will have successfully reversed the factorization process and arrived at the original number.

For example, if the factorization of a number was 2^3 * 3^2 * 5, you would reverse the process by multiplying 2 * 2 * 2 * 3 * 3 * 5 to get the original number. In this case, the original number would be 360.