Question

write the prime factorization of 25. use exponents when appropriate and order the factors from least to greatest (for example, $2^2 \cdot 3 \cdot 5$).

Explanation:

Step1: Recall prime factorization

Prime factorization means expressing a number as a product of prime numbers. For 25, we start by dividing by the smallest prime number. The smallest prime number is 2, but 25 is not divisible by 2. Next prime is 3, 25 is not divisible by 3. Next prime is 5. 25 divided by 5 is 5. So we have \(25 = 5\times5\).

Step2: Use exponents

Since we have two 5s, we can write this using exponents as \(5^{2}\).

Answer:

\(5^{2}\)