All Factors of 32

Wednesday, January 20, 2021

 



All factors of 32

 

How many factors does 32 have?

6 numbers will factor into 32. This means that there are 6 numbers 32 can be divided by completely, with no remainder. 

 

The factors of 32 include:

1, 2, 4, 8, 16, and 32. 

 

The factors of 32 in pairs include:

1 and 32, 2 and 16, and 4 and 8. 

 

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 32 a prime number?

No, because it can be divided evenly 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 32 composite?

Yes, 32 is composite because many numbers besides 32 and 1 can be multiplied together to equal 32 (i.e. 2 and 16, 4 and 8). 32 can be divided by numbers like 2, 4, 8, and 16 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 32?

I like to create a factor tree. 

See the picture below for a factor tree of 32.

 

 

         factor tree 32 

 

Prime factorization of 32 

2 x 2 x 2 x 2 x 2 = 32

 

Related Links:

Factors of 900


Prime Composite Numbers


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