质因数分解计算器
免费的质因数分解工具。输入一个数字，立即看到其质因数和指数。学习算术基本定理。
将任何数字分解为其质因数，并查看指数表示法。
What Is Prime Factorization?
Prime factorization is the process of decomposing a number into its prime factors. Every integer greater than 1 has a unique prime factorization.
How to Use
- Start with the smallest prime (2)
- Divide repeatedly until a prime no longer divides
- Move to the next prime (3, 5, 7, …)
- Stop when you reach √n
- If the remainder > 1, it is prime
Examples
Example 1: Factorize 84
84 = 2² × 3 × 7
Example 2: Factorize 360
360 = 2³ × 3² × 5
Example 3: Factorize a Prime (97)
97 = 97
FAQ
Q: Why is prime factorization important? A: Essential in mathematics, cryptography, and number theory.
Q: What is a prime number? A: A natural number greater than 1 divisible only by 1 and itself.
Q: What is the Fundamental Theorem of Arithmetic? A: Every integer > 1 has a unique prime factorization.