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NSW Y8 Maths Working with Numbers Prime Factors

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Prime Factors Theory

A prime number is a number that can only be divided by itself and 1.\\ To determine a number as the product of its prime factors, you begin by dividing the number by the smallest prime number. \begin{multicols}{2} \textbf{Example 1}\\ what is 240 as a product of its prime factors?\\ \textbf{Example 1 solution}\\ \(\begin{aligned} 240 & =2 \times 120 \\ & =2 \times 2 \times 60 \\ & =2 \times 2 \times 2 \times 30 \\ & =2 \times 2 \times 2 \times 2 \times 15 \\ & =2^4 \times 3 \times 5. \end{aligned}\) \columnbreak \textbf{Example 2}\\ What is the highest common factor (HCF) of 42 and 63?\\ \textbf{Example 2 solution}\\ \(\begin{aligned} 42 & =2 \times 21 \\ & =2 \times 3 \times 7 \\ 63 & =3 \times 21 \\ & =3 \times 3 \times 7 \end{aligned}\)\\ \(\therefore 21\) is the HCF \end{multicols}

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Videos

Videos relating to Prime Factors.

  • Prime Factors - Video - Prime Factorization Explained!

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  • Prime Factors - Video - Prime factor trees - finding HCF + LCM

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