5. Find Prime factorization of 100 using Factor tree method
Solution:
Prime factorization of a number using Factor tree method :
Step-1: Find any factor pair of the given number and use these numbers to create two branches.
Step-2: If a factor is prime then that branch is complete and circle that prime.
Step-3: If a factor is not prime then find it's factor pair and continue the process until all the branches are completed
Step-4: Write product of all the circled primes.
100 factors into `2xx50`. We write these factors under 100
2 is prime, so we circle it.
50 is composite and it factors into `2xx25`. We write these factors under 50
5 is prime, so we circle it.
25 is composite and it factors into `5xx5`. We write these factors under 25
5 and 5 are primes, so we circle it.
The prime factorization is the product of the circled primes
`100=2 xx 2 xx 5 xx 5`
We can write prime factorization in exponential form
`100=2^2 xx 5^2`
This material is intended as a summary. Use your textbook for detail explanation.
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