Final answer:
To do prime factorization of large numbers, use factor trees to break down the number into its prime factors.
Step-by-step explanation:
To do prime factorization of large numbers, you can use a method called factor trees. Here is an example:
- Let's say we want to prime factorize the number 48.
- Start by finding two factors of 48. For example, you can choose 2 and 24.
- Continue breaking down the factors using prime numbers until you cannot break them down further. For 48, you can break down 24 into 2 and 12.
- Repeat this process with the remaining factors. For 48, you can break down 12 into 2 and 6.
- Keep repeating until you have only prime numbers. For 48, the final result would be 2 * 2 * 2 * 2 * 3.
So the prime factorization of 48 is 2^4 * 3.