The prime factorization of 110 is the process of breaking down the number 110 into its prime numbers. Prime factorization is important in various fields of mathematics, including algebra and number theory.
To find the prime factorization of 110, follow these steps:
- Divide 110 by the smallest prime number, which is 2. 110 ÷ 2 = 55.
- Now, divide 55 by the next smallest prime number, which is 5. 55 ÷ 5 = 11.
- Finally, 11 is a prime number itself, so it cannot be divided further.
So, the prime factors of 110 are 2, 5, and 11. Therefore, the prime factorization of 110 can be written as:
110 = 2 × 5 × 11
This means that 110 is the product of the prime numbers 2, 5, and 11.