All Factors of 250

Tuesday, January 12, 2021

 



All factors of 250

 

How many factors does 250 have?

8 numbers will factor into 250. This means that there are 8 numbers 250 can be divided by completely, with no remainder. 

 

The factors of 250 include:

1, 2, 5, 10, 25, 50, 125, 250. 

 

The factors of 250 in pairs include:

1 and 250, 2 and 125, 5 and 50, 10, and 25. 

 

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 250 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 250 composite?

Yes, 250 is composite because many numbers besides 250 and 1 can be multiplied together to equal 250 (i.e. 2 and 125, 10 and 25, 5 and 50, etc.). 250 can be divided by numbers like 2, 5, 25, 50, and 125 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 250?

I like to create a factor tree. 

See the picture below for a factor tree of 250.

 

 

         factors of 250 

 

Prime factorization of 250 

2 x 5 x 5 x 5 = 250

 

Related Links:

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How to find the LCM using a factor tree


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