PRIME FACTORISATION

FUNDAMENTAL THEOREM OF ARITHMETIC:

Every composite number uniquely expressed as a product of primes.

METHODS OF PRIME FACTORISATION:

Prime factorization can be done using two main methods: 

1.  Factor tree method

2.  Division method

👉 In the factor tree method visually breaks down the number into its prime factors using a branching diagram. 

👉  In the division method involves repeatedly dividing a number by its smallest                     prime  factor until the quotient is 1

 

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 Factor Tree Method:

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Start with the number: Place the number at the top of a tree diagram. 

Break down factors: Find two factors of the number and place them on the branches below. 

Continue breaking down composite factors: If a factor is not prime, break it down further into its own factors on the next level of the tree. 

Prime factors are final: Continue the process until all branches end with prime numbers. 

Multiply prime factors: Multiply all the prime numbers at the end of the branches to get the prime factorization. 

 

 

                             

 

 

 

 

 

 DIVISION METHOD:

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·         Step 1: Divide the given number by the smallest prime number. ...

·         Step 2: Again, divide the quotient by the smallest prime number.

·         Step 3: Repeat the process, until the quotient becomes 1.

·         Step 4: Finally, multiply all the prime factors.

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