Home » Maths » What is the prime factorization of 100

What is the prime factorization of 100

When a number is expressed as a product of its factors we say that the number has been factorised. When the factorization contains the prime number only then it is called prime factorization.Now let us look on how to find the prime factorization of 100
There are two method which can be used.

Division method
We divide the number 100 by 2, 3, 5, 7 etc. in this order repeatedly so long
as the quotient is divisible by that number.Thus, the prime factorization of 100 is $2 \times 2 \times 5 \times 5$

What is the prime factorization of 100

Factor Tree Method
In this method, we first think about any two factor and then we think about two factors of respective number. This goes till the factors are prime.
We may have different factor tree depending on the starting point but all of them will show the same prime factors.
Lets check the different Factor tree for 100

a. Starting with factor (2, 50)

factor tree of 100

Prime Factors are the Leaf Nodes. So , prime factorization of 100 is $2 \times 2 \times 5 \times 5$

b. starting with factor (20,5)

Prime Factors are the Leaf Nodes. So , prime factorization of 100 is $2 \times 2 \times 5 \times 5$

prime factorization of 100

Prime Factors are the Leaf Nodes. So , prime factorization of 100 is $2 \times 2 \times 5 \times 5$

c. starting with factor (10,10)

prime factorization of 100

Prime Factors are the Leaf Nodes. So , prime factorization of 100 is $2 \times 2 \times 5 \times 5$

Hope you like this post on prime factorization of 100. Please do provide the feedback

Also Reads
Table of Factors
factors of 35
factors of 75

Subscribe
Notify of

This site uses Akismet to reduce spam. Learn how your comment data is processed.

0 Comments
Inline Feedbacks
View all comments
0
Would love your thoughts, please comment.x
()
x