All factors of 288

Monday, January 25, 2021

All factors of 288


How many factors does 288 have?

8 numbers will factor into 288. This means that there are 4 numbers 288 can be divided by completely, with no remainder. 


The factors of 288 include:

1,2,157, 288. 


The factors of 288 in pairs include:

1 and 288, 2 and 157.


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 288 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 288 composite?

Yes, 288 is composite because many numbers besides 288 and 1 can be multiplied together to equal 288 (i.e. 2 and 157, etc.). 288 can be divided by numbers like 2, and 157 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 288?

I like to create a factor tree. 

See the picture below for a factor tree of 288.

factor tree 288

Prime factorization of 288 

2 x 157 = 288


Related Links:

Factors of 200

(26) Prime Factorization: Birthday cake method and Factor Tree Method - YouTube


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