NUMBER
ACTIVE
AS PRODUCT
AUTO
POWER FORM
AUTO
CHECK
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PRIME FACTORISATION CALCULATOR
Find prime factors, power form and a compact factor tree for a whole number
Useful for GCSE maths, factors and multiples, HCF and LCM questions
CALCULATOR
Enter a number, factorise it, switch view or run PRIME?
SUMMARY
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HOW TO USE
Enter a whole number 2 or above.
Press ENTER to factorise it.
Use VIEW to change from list view to tree view.
EXAMPLE
84 = 2×2×3×7
84 = 2^2 × 3 × 7
This is the prime factorisation of 84.
PRIME CHECK
Use PRIME? to test whether the number is prime.
If it is prime, its factorisation is just itself.
WHY IT MATTERS
Prime factors help with HCF and LCM questions.
They help with factors, multiples and GCSE revision.
This page is designed as a quick checker and revision aid.
KEYS
BS deletes • CLR clears current entry
C resets the page example
ENTER factorises • VIEW changes display
RELATED PAGES
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WHAT IS PRIME FACTORISATION?
Prime factorisation means writing a number as a product of prime numbers.
A prime number has exactly two factors: 1 and itself.
Every whole number above 1 has one unique prime factorisation.
FACTOR TREE METHOD
Split the number into factors.
Keep splitting until every branch ends in a prime number.
Then write the primes in order.
PRIME FACTORS IN GCSE MATHS
Prime factors appear in GCSE revision, homework and exam questions.
They help with factors, multiples, HCF, LCM and standard form answers.
This page is designed as a quick checker and revision aid.
SEARCH INTENT
This page is useful for people looking for a prime factorisation calculator.
It also suits searches for factor tree calculator, prime factors finder and GCSE maths factors help.
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COMMON SEARCHES
prime factorisation calculator
factor tree calculator
prime factors of 84
prime factorisation for GCSE maths
POWER FORM
360 = 2×2×2×3×3×5
360 = 2^3 × 3^2 × 5
Power form is shorter and easier to compare.
FACTOR TREES AND LISTS
Some learners prefer repeated division.
Others prefer a factor tree layout.
This page supports both to match the way different students work.
RELATED TOOLS
After factorising, use page 627 for HCF and LCM.
Use page 625 for ratios and page 199 for more maths tools.
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WORKED EXAMPLES
72 = 2^3 × 3^2
90 = 2 × 3^2 × 5
100 = 2^2 × 5^2
WHEN A NUMBER IS PRIME
If the result is just the original number, it is prime.
Examples include 2, 3, 5, 7, 11 and 13.
PRIME? gives a quick yes or no check.
USEFUL NEXT STEPS
Use prime factors to find the HCF of two numbers.
Use prime factors to find the LCM of two numbers.
Use factor powers to compare different numbers quickly.
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NUMBER
ACTIVE
AS PRODUCT
AUTO
POWER FORM
AUTO
CHECK
AUTO
SUMMARY
—
—
—
—
—
HOW TO USE
Enter a whole number 2 or above.
Press ENTER to factorise it.
VIEW switches list and tree mode.
EXAMPLE
84 = 2×2×3×7
84 = 2^2 × 3 × 7
WHY USE IT?
Prime factors help with HCF and LCM.
They help with factors, multiples and GCSE revision.
KEYS
BS deletes • CLR clears
C resets • PRIME? checks
PAGE 2/5
PRIME FACTORISATION
Write a number as a product of prime numbers.
Every whole number above 1 has one unique answer.
FACTOR TREE
Split into factors, then keep splitting until all branches are prime.
GCSE MATHS
Useful for revision, homework and checking answers.
Supports both factor tree and repeated division methods.
SEARCHES
prime factorisation calculator
factor tree calculator
prime factors finder
PAGE 3/5
POWER FORM
360 = 2×2×2×3×3×5
360 = 2^3 × 3^2 × 5
WHY POWER FORM HELPS
It is shorter, cleaner and easier to compare.
It also makes HCF and LCM work quicker.
RELATED TOOLS
Use page 627 after factorising to work out HCF and LCM.
Use page 625 for ratios and page 199 for more maths pages.
FLOW
This extra page keeps the guide lighter and easier to read on phones, tablets and laptops.
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MORE EXAMPLES
72 = 2^3 × 3^2
90 = 2 × 3^2 × 5
100 = 2^2 × 5^2
RELATED PAGES
PAGE 5/5