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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:
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.
|8 ÷ 1 = 8 (Remainder = 0)|
|8 ÷ 2 = 4 (Remainder = 0)|
|8 ÷ 3 = 2 (Remainder = 2)|
|8 ÷ 4 = 2 (Remainder = 0)|
|8 ÷ 5 = 1 (Remainder = 3)|
|8 ÷ 6 = 1 (Remainder = 2)|
|8 ÷ 7 = 1 (Remainder = 1)|
|8 ÷ 8 = 1 (Remainder = 0)|
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.
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.
Factor tree of 32.
The calculation of a factor tree starts by placing the given number at the top of the tree and the set of pair factors will be written as branches of the trees which will be continued till we get a prime number. Now, let’s see the steps to calculate the factor tree of 32.