List the Prime Factors

Worksheet Description

This worksheet is about prime factorization, a fundamental concept in mathematics where numbers are broken down into their prime number components. The activity lists several numbers, and the student’s task is to list all the prime factors for each one. An example is provided with the number 72, which is factored into 2 × 2 × 2 × 3 × 3. The rest of the worksheet presents a series of numbers for the student to similarly decompose into their prime factors.

The worksheet teaches students how to perform prime factorization, an essential skill for understanding the properties of numbers. It helps students recognize that every number can be expressed as a unique product of prime numbers. The exercise also reinforces multiplication skills and introduces the concept of primes, which are the building blocks of all numbers. Through this practice, students gain a deeper understanding of the structure of the number system, which is crucial for more advanced mathematical topics such as greatest common divisors and least common multiples.