Practice Problems

Worksheet Description

The worksheet is a teaching tool for mathematics, specifically focusing on the concept of prime factorization. It displays a list of numbers (36, 60, 90, 120, 180) and prompts students to find the prime factors for each of these numbers. The first problem for the number 36 is already solved step by step, showing the process of breaking it down into 2 x 18, then further into 2 x 2 x 9, and finally into its prime factors 2 x 2 x 3 x 3. The second problem for the number 60 is partially solved, leaving the remaining numbers for the student to complete.

The worksheet is designed to teach students how to systematically break down composite numbers into their prime factors. By providing partially completed examples, it guides students through the steps of identifying smaller factors and then breaking those down further until only prime numbers remain. The worksheet helps to reinforce the concept that every composite number can be expressed as a unique product of prime numbers, an important principle in number theory. Through practice, students will develop their understanding of the foundational building blocks of numbers, which is critical for more advanced mathematical concepts such as least common multiples and greatest common divisors.