PRIME FACTORISATION

This calculator writes a whole number as a product of prime numbers.

It shows product form, power form and compact factor-tree working.

Prime factors multiply together to make the original number.

Use it before HCF, LCM, fraction and ratio questions.

Enter a whole number 2 or above.

Press ENTER to show prime factors and power form.

Use VIEW to swap between list view and tree view.

Use PRIME? to check whether the number is prime.

84 = 2 × 2 × 3 × 7 = 2^2 × 3 × 7.

60 = 2 × 2 × 3 × 5 = 2^2 × 3 × 5.

36 = 2 × 2 × 3 × 3 = 2^2 × 3^2.

97 is prime, so its factorisation is 97.

Start by dividing by the smallest prime number that works.

Repeat with 2, then 3, then 5, then the next primes.

Stop when the remaining number is prime.

Power form groups repeated prime factors together.

Students use prime factorisation for HCF, LCM and exam revision.

It helps with factors, multiples, simplifying fractions and square roots.

Teachers and tutors can use the output as a quick answer checker.

Power form makes repeated prime factors easier to compare.

Students use it for GCSE maths, KS3 number work and factor trees.

Teachers use it to check factorisation examples quickly.

Tutors use it before explaining HCF, LCM and powers.

Parents can support homework without drawing every factor tree.

What are prime factors? Prime numbers that multiply to make the original.

What is power form? Repeated primes grouped with powers.

What is a factor tree? A step-by-step split into factors.

Is 1 prime? No. Prime numbers have exactly two factors.

Prime factors connect to HCF, LCM, ratios and fraction work.

Prime Factorisation breaks a number into prime numbers.

It helps with factor trees, HCF, LCM and divisibility checks.

The Google-friendly folder is /prime-factorisation/.

Canonical URL: https://teletext-tools.com/prime-factorisation/