Factors of 231

Factors are the numbers that help us divide things equally without any leftovers. Let’s learn about the Factors of 231 which are 1, 3, 7, 11, 21, 33, 77, and 231. The number has both positive and negative integers that divide 231 without leaving any remainder. 
 

Factors help us divide numbers equally, making calculations faster and easier.Given below are the methods used to find factors: 
 

In this method, we take two numbers and find the product of those two numbers to get the required number.

Example:

 3×77=231 

 7×33=231

11 × 21=231

1 × 231=231

This means that 1, 3, 7, 11, 21, 33, 77, and 231 are the factors of 231.
 

We divide 231 by numbers starting from 1 and see which number gives the remainder of 0.

231 ÷  1=231
231  ÷ 3=77
231 ÷  7=33
231  ÷ 11=21
231 ÷  21=21
231 ÷  33=7
231 ÷  77=3
231 ÷  231=1

So the factors are 1, 3, 7, 11, 21, 33, 77, and 231.
 

The breaking down of numbers as prime factors is called prime factorization.  The factors of 231 are:

231=3 × 7 × 11
 

A factor tree shows how a number can be parted down into prime factors.231 is broken down into two factors, 3 × 7 × 11.

Positive and negative pairs:

The factors of a number will have both the positive and negative numbers:

Positive: (1, 231), (3, 77), (7, 33), (11, 21)

Negative: (-1, -231), (-3, -77), (-7, -33), (-11, -21)
 

• Prime Factorization: It is a method of splitting down a number into its factors. For example: 231=3 × 7 × 11

• Divisibility: A number is said to be divisible by a certain number, when we divide a number it should give a whole number and not a decimal.

• Even number: A number that when divided by 2 gives a whole number.