Hi Friends, Good Morning!!!In our previous blog we learned about Factor of 28. Today let us learn about "Factor of 72"
Like concepts presented throughout the Montessori classroom, even those more abstract concepts of Mathematics have been made concrete for the children in our classrooms. Beginning with simple number concepts like understanding quantity and identifying numerals, the Math materials include advanced presentations in cubing numbers, factors, fractions, and mathematical operations.
Factor Tree can be started by taking Different factors. The factor trees can be different but we will see that the Prime Factorization will remain same.
Steps to draw the Factor Tree of 72
Step 1: We start by building a Factor Tree of 72 by dividing 72 by smallest prime number that is 2.
Step 2: since 72 is 2 x 36 we write both these factors under 72 and circle 2 since it is prime.
Step 3: Since 36 is even number so we divide 36 again by 2 we get 2 x 18
Step 4: writing both factors 2 and 18 under 36 and circling 2 as it is again prime
Step 5: Then splitting 18 as 2 and 9 and writing the factors under 18 again circling the prime factor 2.
Step 6: Since now 9 is not divisible by 2 so we see next prime number that is 3
Step 7: On dividing it by 3 we get 3 which is the last and final factor.
Note: we keep on continuing these steps until we get all prime numbers in bottom row.
The Graphical representation of the factors of any number is called a Factor Tree
Factor Tree can be started by taking Different factors. The factor trees can be different but we will see that the Prime Factorization will remain same.
Steps to draw the Factor of 72
Step 1: We start by building a Factor Tree of 72 by dividing 72 by smallest prime number that is 2.
Step 2: since 72 is 2 x 36 we write both these factors under 72 and circle 2 since it is prime.
Step 3: Since 36 is even number so we divide 36 again by 2 we get 2 x 18
Step 4: writing both factors 2 and 18 under 36 and circling 2 as it is again prime
Step 5: Then splitting 18 as 2 and 9 and writing the factors under 18 again circling the prime factor 2.
Step 6: Since now 9 is not divisible by 2 so we see next prime number that is 3
Step 7: On dividing it by 3 we get 3 which is the last and final factor.
Note: we keep on continuing these steps until we get all prime numbers in bottom row.
In the above figure on the left side we see all the prime factors
So the prime factorization can be written as product of all Prime factors
72= 2 x 2 x 2 x 3 x 3
In simplified form it can be written in form of Exponents
72= 2^3 x 3^2
I hope the above explanation was useful.Keep reading and leave your comments.
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