Exponents and Prime Factorization Writing Math Explain how a factor tree helps you identify the base number and possible exponents in an expression. Step 2 Write the factors of each composite factor. The prime factorization of 40 is 2 x 2 x 2 x 5. Step 1 Write 28 as the product of 2 factors. Write your answer using exponents: 3 2 x 5; Find the prime factorization of 34: 2 x 17; Find the prime factorization of 154: 2 x 7 x 11; Find the prime factorizations of 8 and 40, then find their Greatest Common Factor: The prime factorization of 8 is 2 x 2 x 2 x 2. Use exponents to write the prime factorization of 28. Prime factorization is an important skill for middle school students to prepare for high school. Their GCF is 2 x 2 x 2 = 6. Answer key is included.This resource includes Using prime factorization to find the LCM. List the prime factors of each number: 18 = 2 × 3 × 3. Note: 12 = 2 × 2 × 3 can also be written using exponents as 12 = 2 2 × 3 Example 2: What is the prime factorization of 147 ? 24 = 2 × 2 × 2 × 3 Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a … Here’s how: List the prime factors of each number. As you can see, every factor is a prime number, so the answer must be right. If you have a repeated multiplication, you could write it using exponents! They will have fun trying to find their answers in a form that's all scrambled up! One method for finding the least common multiple (LCM) of a set of numbers is to use the prime factorizations of those numbers. This tutorial introduces exponents and explains how they're used. Suppose you want to find the LCM of 18 and 24. Engage them with these 20 prime factorization problems using exponents. 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