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Factors and Multiples

Using Prime Factor Decomposition WORKSHEET

Suitable for Grades: 6th Grade
CCSS: 6.NS.B.4
CCSS Description: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).

Using Prime Factor Decomposition WORKSHEET DESCRIPTION

This worksheet is designed to deepen students' understanding of prime numbers and prime factorization through various engaging activities. =

Students will explore prime factor decomposition by finding missing products in calculations like 24 x 98 = 84 x ?, simplifying fractions, identifying three consecutive integers with a given product, and rearranging prime factors to determine all factors of a number. These exercises are especially valuable when working with large numbers.

This resource offers a fun and educational addition to students' work in number theory and prime factorization, enhancing their problem-solving skills and mathematical fluency.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Using Prime Factor Decomposition Worksheet Suitable for Students in 6th Grade

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Frequently Asked Questions

Prime factor decomposition breaks down numbers into their basic building blocks, making it much easier to manipulate complex calculations. When you have an equation like 24 x 98 = 84 x ?, you can write each number as a product of prime factors and then rearrange them to solve for the missing value. This approach is particularly powerful because it reveals the underlying structure of the numbers you're working with.