Question

write the prime factorization of 85. order the factors from least to greatest (for example, 2 × 2 × 3 × 5). submit work it out not feeling ready yet? these can help: identify factors prime or composite lesson: prime factorization

Explanation:

Step1: Check divisibility by smallest prime

Start with the smallest prime number, 2. 85 is odd, so not divisible by 2. Next prime is 3: \(8 + 5 = 13\), not divisible by 3. Next prime is 5: \(85 \div 5 = 17\).

Step2: Check if quotient is prime

17 is a prime number (only divisible by 1 and itself). So the prime factors of 85 are 5 and 17.

Answer:

\(5 \times 17\)