1. Find Prime factorization of 72 by Division method
Solution:
Prime factorization of a number using Division method :
Step-1: Divide the given number by its least prime factor.
Step-2: Divide the quotient by its least prime factor.
Step-3: Repeat the process until the quotient becomes 1.
Step-4: Write product of all the prime on the sides of the table.
Divide 72 by the least prime number, which is 2
Again divide 36 by the least prime number, which is again 2
Again divide 18 by the least prime number, which is again 2
Again divide 9 by the least prime number, which is 3
As 3 is a prime number, divide it with itself to get 1
The quotient is 1, so we stop here
The prime factorization is the product of all the primes on the sides of the table
`72=2 xx 2 xx 2 xx 3 xx 3`
We can write prime factorization in exponential form
`72=2^3 xx 3^2`
This material is intended as a summary. Use your textbook for detail explanation.
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