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Factors and Multiples

Using Prime Factors to Identify Square, Cube Numbers and Roots WORKSHEET

Suitable for Grades: 8th Grade
CCSS: 8.EE.A.2
CCSS Description: Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Using Prime Factors to Identify Square, Cube Numbers and Roots WORKSHEET DESCRIPTION

This worksheet will help students develop a deeper understanding of prime number and prime factorisation as they learn to identify square and cube numbers as well as finding square and cube roots.

Firstly learners will find the prime factorisation of 5 square and 3 cube numbers before considering what the answers have in common. Then students will use their findings to identify a square and cube number from a list of 6 numbers using their prime factor decomposition. To end, students will then use the product of primes of 3 squares and 3 cube numbers to easily find their roots.

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

Using Prime Factors to Identify Square, Cube Numbers and Roots Worksheet Suitable for Students in 8th Grade

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Frequently Asked Questions

This worksheet is designed for 8th grade students who are ready to explore the connections between prime factorization and perfect powers. Students at this level typically have a solid foundation in finding prime factors and are prepared to discover the patterns that emerge when examining square and cube numbers through their prime decompositions.