Factors of 220-Includes Prime factorization

Monday, January 11, 2021


All factors of 220

 

How many factors does 220 have?

12 numbers will factor into 220. This means that there are 12 numbers 220 can be divided by completely, with no remainder. 

 

The factors of 220 include:

1, 2, 4, 5, 10, 11, 22, 25, 44, 55, 110, 220. 

 

The factors of 220 in pairs include:

1 and 220, 2 and 110, 4 and 55, 5 and 44, 10 and 25, 11 and 22.

 

Remember that a prime number is a number greater than 1 that can only be evenly divided by itself and 1. For example, 5 is a prime number. 

 

Is 220 a prime number?

No, because it can be evenly 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 220 composite?

Yes, 220 is composite because many numbers besides 220 and 1 can be multiplied together to equal 220 (i.e. 2 and 110, 10 and 22, 5 and 44, etc.). 220 can be divided by numbers like 2, 5, 22, 44, and 110 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 220?

I like to create a factor tree. 

See the picture below for a factor tree of 220.

 

 

         factor tree 220 

 

Prime factorization of 220 

2 x 2 x 5 x 11 = 220

 

Related Links:


LCM of 77


Factors of 1600



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