The prime factorization of 90 is the process of breaking down the number 90 into its prime numbers. Prime factorization is important in various fields of mathematics, including number theory and cryptography.
To find the prime factorization of 90, follow these steps:
- Start by dividing 90 by the smallest prime number, which is 2. 90 ÷ 2 = 45.
- Next, divide 45 by the smallest prime number, which is 3. 45 ÷ 3 = 15.
- Then, divide 15 by the smallest prime number, which is 3. 15 ÷ 3 = 5.
- Finally, divide 5 by the smallest prime number, which is 5. 5 ÷ 5 = 1.
So, the prime factors of 90 are 2, 3, 3, and 5. This can be written as:
90 = 2 × 3 × 3 × 5
Or, using exponents:
90 = 2 × 3² × 5
This is the prime factorization of 90.