All Factors of 200

Wednesday, January 6, 2021

 



All factors of 200

 How many factors does 200 have?
12 numbers will factor into 200. This means that there are 12 numbers 200 can be divided by completely, with no remainder. 
 

The factors of 200 include:

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200. 
 

The factors of 200 in pairs include:

1 and 200, 2 and 100, 4 and 50, 5 and 40, 8 and 25, 10 and 20.
 
Remember that a prime number is a number greater than 1 that can only be divided by itself and 1. For example, 5 is a prime number. 
 

Is 200 a prime number?

No, because it can be divided by numbers other than itself and 1.  
 
A composite number can be divided by numbers other than itself and 1 exactly (no remainder). To put it another way, numbers besides 1 and the number itself can be multiplied together to equal that number. 
 

Is 200 composite?

Yes, 200 is composite because many numbers besides 200 and 1 can be multiplied together to equal 200 (i.e. 2 and 100, 4 and 50, etc.). 200 can be divided by numbers like 4, 5, 8, 25, etc. with no remainder. 
 

What is the prime factorization of a number? 

The prime factorization of a number is the process of finding all the prime factors that multiply together to equal a given number. 
For instance, the prime factorization of 12 is 2 x 2 x 3 = 12.
 

How can we find the prime factorization of 200?

I like to create a factor tree. 
See the picture below for a factor tree of 200.

factor tree 200


 
Prime factorization of 200 
2 x 2 x 2 x 5 x 5 = 200
 
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