177 LearnersLast updated on May 26th, 2025
Factors of 768
Factors are the numbers that divide another number equally, without leaving any remainder. When you multiply two numbers to find another number, the two which are multiplied are factors. You can think of factors as the building blocks that will help you make numbers.
What are the 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.
How to find the factors of 768?
Factors help us divide numbers equally, making calculations faster and easier. Given below are the methods used to find factors:
Finding Factors Using Multiplication
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.
Finding Factors by Division Method
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.
Prime Factorization
The breaking down of numbers as prime factors is called prime factorization. The factors of 768 are:
768=28 x 3
Factor tree
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.
Factor Pairs
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
Common Mistakes and How to Avoid Them in Factors of 768
While learning about factors of 768, students may likely make mistakes, to avoid them a few mistakes with solutions are given below:
Mistake 1
Improper calculation in division
Children may get confused while performing divisions in the carry forward of numbers, which may lead to improper results. To avoid this, students should practice division to be better at the calculations.
factors of 768 Examples
Problem 1
Find the sum of all positive factors of 768.
The sum of all positive factors of 768,
1+2+3+4+6+8+12+16+24+32+48+64+96+128+256+384+768=1854
The sum of all positive factors of 768 is 1854.
Explanation
We sum all the distinct factors of 768 to get the total, which equals 1854.
Problem 2
Find the GCF of 768 and 192.
Factors of 768: 1, 2, 3, …, 768
Factors of 192: 1, 2, 3, …, 192
The GCF (768, 192) is the largest common factor, which is:
192.
Explanation
The GCF of 768 and 192 is 192.
Problem 3
Find the LCM of 768 and 96
The LCM of 768 and 96, we can find it through prime factorization:
768=28 x 3
96=25 x 3
LCM= 28 × 3=768.
Explanation
The LCM of 768 and 96 is 768.
FAQs on Factors of 768
1.What is the negative pair of 768?
2.Can we divide 768 by 9?
3.Is 768 a perfect square?
4.Why 768 is not a prime number?
5.What is 768 in simple radical form?
6.How can children in Qatar use numbers in everyday life to understand Factors of 768?
7.What are some fun ways kids in Qatar can practice Factors of 768 with numbers?
8.What role do numbers and Factors of 768 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 768 skills?
Important Glossaries for Factors of 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.
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