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Prime Factorisation
Last updated at January 22, 2026 by Teachoo
Prime Factorisation
Prime Factorisation
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Class 7 (Ganita Prakash 1, 2 & old NCERT)
Chapter 3 Class 7 - Finding Common Ground (Ganita Prakash II)
- The Greatest of All
-
Prime Factorisation
- Finding HCF using Prime Factorisation
- Figure it out - Page 54
- Least, but not Last!
- Finding LCM using Prime Factorisation
- Patterns, Properties, and a Pretty Procedure!
- Figure it out - Page 59
- Miscellenaous Questions on HCF, LCM
- Efficient Procedures for HCF and LCM
- Property Involving both the HCF and the LCM
- Figure it out - Page 63, 64
Transcript
Prime FactorisationMETHOD 1: FACTOR TREE Table 1: METHOD 2: DIVISION LADDER \captionsetup{labelformat=empty} 2 72 2 36 2 18 3 9 3 3 1Prime factorization is a method to write number as multiplication of prime numbers Let’s take an example 24 Prime Factorization of 24 = 2 × 2 × 2 × 3 12 12 = 2 × 2 × 3 16 16 = 2 × 2 × 2 × 2 Steps The steps are Divide the number by 2. If it is divisible, continue dividing by prime number until we cannot further divide If number becomes 1, stop. If the number is not 1, keep on dividing by other prime numbers 3, 5, 7, 11… Stop when number becomes 1 324 324 = 2 × 2 × 3 × 3 × 3 × 3 3360 3360 = 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 Note: In prime factorization, we only include prime numbers. So, 1 and the number itself is not included in it
