The prime factorization of 220 is the process of breaking down the number 220 into its prime numbers. Prime factorization is important in various fields of mathematics, including number theory and cryptography.
To find the prime factorization of 220, follow these steps:
- Divide 220 by the smallest prime number, which is 2. 220 ÷ 2 = 110.
- Divide 110 by 2 again. 110 ÷ 2 = 55.
- Now, 55 is not divisible by 2, so we move to the next prime number, which is 5. 55 ÷ 5 = 11.
- Finally, 11 is a prime number itself, so we stop here.
So, the prime factors of 220 are 2, 2, 5, and 11. This can be written as:
220 = 2 × 2 × 5 × 11
Or, in exponential form:
220 = 2² × 5 × 11