**All factors of 625**

**How many factors does 625 have?**

5 numbers will factor into 625. This means that there are 5 numbers 625 can be divided by completely, with no remainder.

**The factors of 625 include:**

1, 5, 25, 125, 625.

**The factors of 625 in pairs include:**

1 and 625, 5 and 125, and 25 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 625 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 625 composite?**

Yes, 625 is composite because many numbers besides 625 and 1 can be multiplied together to equal 625 (i.e. 5 and 125, 25 and 25). 625 can be divided by numbers like 5, 25, 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 625?

I like to create a factor tree.

See the picture below for a factor tree of 625.

**Prime factorization of 625 **

5 x 5 x 5 x 5 = 625

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