100 LearnersLast updated on May 26th, 2025
Factors of 862
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 862, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 862?
The numbers that divide 862 evenly are known as factors of 862.
A factor of 862 is a number that divides the number without remainder.
The factors of 862 are 1, 2, 431, and 862.
Negative factors of 862: -1, -2, -431, and -862.
Prime factors of 862: 2 and 431.
Prime factorization of 862: 2 × 431.
The sum of factors of 862: 1 + 2 + 431 + 862 = 1296
How to Find Factors of 862?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 862. Identifying the numbers which are multiplied to get the number 862 is the multiplication method.
Step 1: Multiply 862 by 1, 862 × 1 = 862.
Step 2: Check for other numbers that give 862 after multiplying
2 × 431 = 862
Therefore, the positive factor pairs of 862 are: (1, 862), (2, 431).
All these factor pairs result in 862.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 862 by 1, 862 ÷ 1 = 862.
Step 2: Continue dividing 862 by the numbers until the remainder becomes 0.
862 ÷ 1 = 862
862 ÷ 2 = 431
Therefore, the factors of 862 are: 1, 2, 431, 862.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 862 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
862 ÷ 2 = 431
431 ÷ 431 = 1
The prime factors of 862 are 2 and 431.
The prime factorization of 862 is: 2 × 431.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 862 is divided by 2 to get 431.
Step 2: Now divide 431 by 431 to get 1. Here, 431 is a prime number, that cannot be divided anymore. So, the prime factorization of 862 is: 2 × 431.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 862: (1, 862), (2, 431).
Negative factor pairs of 862: (-1, -862), (-2, -431).
Common Mistakes and How to Avoid Them in Factors of 862
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 862, 1 and 862 are also factors.
Factors of 862 Examples
Problem 1
There are 4 teams and 862 points. How will they divide it equally?
They cannot divide it equally, as 862 is not divisible by 4 without a remainder.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
862/4 = 215.5
Problem 2
A rectangular garden has a length of 431 meters and a total area of 862 square meters. Find the width.
2 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
862 = 431 × width
To find the value of width, we need to shift 431 to the left side.
862/431 = width
Width = 2.
Problem 3
There are 2 buses and 862 students. How many students will be in each bus?
Each bus will have 431 students.
Explanation
To find the students in each bus, divide the total students by the buses.
862/2 = 431
Problem 4
In an auditorium, there are 862 seats, and 1 section. How many seats are there in each section?
There are 862 seats in the section.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section.
862/1 = 862
Problem 5
862 apples need to be arranged in 431 baskets. How many apples will go in each basket?
Each of the baskets has 2 apples.
Explanation
Divide total apples by baskets.
862/431 = 2
FAQs on Factors of 862
1.What are the factors of 862?
2.Mention the prime factors of 862.
3.Is 862, a multiple of 431?
4.Mention the factor pairs of 862?
5.What is the square of 862?
Important Glossaries for Factor of 862
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 862 are 1, 2, 431, and 862.
- Prime factors: The factors which are prime numbers. For example, 2 and 431 are prime factors of 862.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 862 are (1, 862), (2, 431).
- Prime factorization: Expressing a number as the product of its prime factors. For 862, it is 2 × 431.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
