Prime Factorisation Made Easy: The Ultimate Trick to Solve This Secondary 1 Math Question

A closer look at solving perfect cube questions using prime factorisation in Secondary Math

Transitioning from Primary 6 to Secondary 1 often challenges students as they move away from model drawing and step into the world of algebra and structured problem-solving. In Secondary 1 Math, topics like prime factorisation form the foundation for more advanced concepts such as highest common factor (HCF), lowest common multiple, squares and perfect cubes. Many students understand the basics, but struggle when questions require deeper application.

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Applying prime factorisation to find the smallest possible value:

Find the smallest positive integer 𝑛 for which 72/𝑛 is a perfect cube.

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At first glance, this may seem like a standard factorisation problem. However, it requires a strong understanding of both prime factorisation and the concept of a perfect cube. Students must break down 72 into its prime factors, then analyse how to adjust those factors so that the result becomes a perfect cube. This type of question tests whether a learner can connect concepts rather than apply them in isolation.

Mastering such questions builds more than just technical skills. It develops a self motivated learner who approaches unfamiliar problems with confidence and clarity. With the right guidance, students can become confident learners who recognise patterns and apply strategies effectively.

For a step-by-step breakdown and clear explanation, scroll down to view the full mentor-student discussion. This real example demonstrates how online lessons and on-demand homework help through Superstar Teacher supports students in mastering challenging concepts like prime factorisation.