Prime FactorisationEvery number breaks into primes in exactly one way.5th GradeA factor tree splits a number until only primes are left.1SPLIT INTO ANY TWO FACTORS36 = 4 × 9. Any pair works — you end up in the same place.2KEEP SPLITTING4 = 2 × 2 and 9 = 3 × 3. Circle a branch when it reaches a prime.3COLLECT THE PRIMES36 = 2 × 2 × 3 × 3.4WRITE IT WITH EXPONENTS36 = 2² × 3².WORKED60 = 6 × 10 = (2×3) × (2×5) = 2² × 3 × 5Start with 4 × 15 instead and you still get 2² × 3 × 5Every whole number above 1 has exactly one prime factorisation. Thatis why it is useful.Prime Factorisationlearnposters.com
Prime Factorisation — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

Prime Factorisation, step by step

A factor tree splits a number until only primes are left.

  1. SPLIT INTO ANY TWO FACTORS36 = 4 × 9. Any pair works — you end up in the same place.
  2. KEEP SPLITTING4 = 2 × 2 and 9 = 3 × 3. Circle a branch when it reaches a prime.
  3. COLLECT THE PRIMES36 = 2 × 2 × 3 × 3.
  4. WRITE IT WITH EXPONENTS36 = 2² × 3².

worked

  • 60 = 6 × 10 = (2×3) × (2×5) = 2² × 3 × 5
  • Start with 4 × 15 instead and you still get 2² × 3 × 5

Every whole number above 1 has exactly one prime factorisation. That is why it is useful.

Questions about the Prime Factorisation poster

What’s on the Prime Factorisation poster?
4 numbered steps, with a full worked run-through. A factor tree splits a number until only primes are left. SPLIT INTO ANY TWO FACTORS — 36 = 4 × 9. Any pair works — you end up in the same place.; KEEP SPLITTING — 4 = 2 × 2 and 9 = 3 × 3. Circle a branch when it reaches a prime.; COLLECT THE PRIMES — 36 = 2 × 2 × 3 × 3.; WRITE IT WITH EXPONENTS — 36 = 2² × 3².. Every whole number above 1 has exactly one prime factorisation. That is why it is useful.
Who is the Prime Factorisation poster for?
Prime Factorisation is filed under 5th Grade (ages 10–11), so it matches what that year asks a child to remember. It is equally useful to an older student revisiting math, and to the parent or teacher answering the question at the kitchen table.
When should you use the Prime Factorisation poster?
Build a factor tree. Keep splitting until every branch ends on a prime. A wall chart earns its place by being glanceable from where the work is happening, so Prime Factorisation belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Prime Factorisation?
Fraction, Decimal, Percent, Writing Expressions and Adding Unlike Fractions sit alongside Prime Factorisation in the 5th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Fraction, Decimal, PercentWriting ExpressionsAdding Unlike Fractions
Is the Prime Factorisation poster free to download and print?
Yes. Prime Factorisation downloads as a free PDF with no account, no email and no watermark, like everything else in the 5th Grade set. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Prime Factorisation poster print at?
Prime Factorisation is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Prime Factorisation loses nothing.Printing guide

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