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# Factor and Factor Tree

https://wiingy.com/resources/tools/factor-tree/

## What are Factors?

Factor is a basic Mathematical concept taught to primary-grade students in schools. In simple terms, a factor of a number can be divided by the given number evenly without leaving any remainder. There are two popular methods of calculating the factor of a number, i.e., the multiplication method and the division method. Let’s understand how to calculate factors with one example:

Example:
Let’s find the factors of 8 by using the multiplication method.

Factors of 8 are the numbers that will be divided by the number 8 evenly. We will find the factors of 8 by using the division method. For this method, we will divide 8 with a sequence of numbers. The numbers that will get divided by 8 completely will be termed as the factors of 8.

From the above, we can see that the numbers 1, 2, 4, and 8 when divided by 8 leave the remainder 0. Hence, 1, 2, 4, and 8 are the factors of 8.

## What is a Factor Tree?

Factor tree can be defined as a way of expressing the factors of a number, specifically the prime factorization of a number. The factors are represented as the branches of a tree and at the end of the branch is a prime number that cannot be spilt further. Let’s understand this concept with an example.

Example:
Factor tree of 32.