Factors of 768

Factors are the numbers that help us divide things equally without any leftovers. 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 256, 384, and 768 are the factors of 768. The number has both positive and negative integers that divide 768 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: 1×768=768

2 × 384=768

3 × 256=768

4 × 192=768

6x128=768

Thus, the pairs are:

(1, 768), (2, 384), (3, 256), (4, 192), (6, 128), and so on.
 

We divide 768 by numbers starting from 1 and see which number gives the remainder of 0.

768 2=384

768 3=256

768 4=192

Similarly, we continue to list other factors.

Now, we know that the factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 256, 384, and 768. 
 

The breaking down of numbers as prime factors is called prime factorization. The factors of 768 are:

768=2⁸ x 3
 

A factor tree shows how a number can be parted down into prime factors.768 is broken down into two factors until we reach prime numbers 2 and 3.
 

Positive and negative pairs:

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

Positive factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 256, 384, 768

Negative factors: −1,−2,−3,−4,−6,−8,−12,−16,−24,−32,−48,−64,−96,−128,−256,−384,−768
 

• Prime Factorization:  It is a method of splitting down a number into its factors. For example:768=2⁸ x 3

• 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.