Question

write the prime factorization of 35. use exponents when appropriate and order the factors from least to greatest (for example, $2^2 \cdot 3 \cdot 5$).

Explanation:

Step1: Identify prime factors of 35

We start by finding the prime numbers that multiply to give 35. We check divisibility: 35 divided by 5 is 7, and both 5 and 7 are prime numbers.

Step2: Write prime factorization

Since 35 = 5 × 7, and both primes have an exponent of 1 (so we don't need to write the exponent as it's implied), we order them from least to greatest.

Answer:

$5 \cdot 7$