Prime Factorisation

Express numbers as products of prime factors — foundation for HCF and LCM.

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Learning objectives

Learning methods:CRAI-We-YouSpaced reviewRetrievalMetacognition

Try first, then learn step by step

Is 17 a prime number? Answer yes or no.

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Foundation — I Do → We Do → You Do

I Do — Learn

Step 1 of 5

A prime number has exactly two factors: 1 and itself. Examples: 2, 3, 5, 7, 11.

A composite number has more than two factors. Example: $12 = 1 \times 12 = 2 \times 6 = 3 \times 4.$

I Do — Learn

Step 2 of 5

Factorise 36 using a factor tree:

36 → $6 \times 6$ → $(2 \times 3) \times (2 \times 3)$

So $36 = 2^{2}$ × $3^{2}$ in index notation.

We Do — Guided

Step 3 of 5

Is 17 a prime number? Answer yes or no.

We Do — Guided

Step 4 of 5

Write 24 as a product of prime factors. (e.g. 2^3 x 3 or

2 \times 2 \times 2 \times 3

)

You Do — Practice

Step 5 of 5

Express 60 in index notation as a product of prime factors.

Finish all foundation steps to unlock 2 harder questions.