102 LearnersLast updated on May 26th, 2025
Factors of 860
Factors are the numbers that divide any given number evenly without a 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 860, how they are used in real life, and tips to learn them quickly.
What are the Factors of 860?
The numbers that divide 860 evenly are known as factors of 860.
A factor of 860 is a number that divides the number without a remainder.
The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, and 860.
Negative factors of 860: -1, -2, -4, -5, -10, -20, -43, -86, -172, -215, -430, and -860.
Prime factors of 860: 2, 5, and 43.
Prime factorization of 860: 2 × 5 × 43.
The sum of factors of 860: 1 + 2 + 4 + 5 + 10 + 20 + 43 + 86 + 172 + 215 + 430 + 860 = 1848
How to Find Factors of 860?
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 860. Identifying the numbers which are multiplied to get the number 860 is the multiplication method.
Step 1: Multiply 860 by 1, 860 × 1 = 860.
Step 2: Check for other numbers that give 860 after multiplying
2 × 430 = 860
4 × 215 = 860
5 × 172 = 860
10 × 86 = 860
20 × 43 = 860
Therefore, the positive factor pairs of 860 are: (1, 860), (2, 430), (4, 215), (5, 172), (10, 86), (20, 43).
All these factor pairs result in 860.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 the simple division method
Step 1: Divide 860 by 1, 860 ÷ 1 = 860.
Step 2: Continue dividing 860 by the numbers until the remainder becomes 0.
860 ÷ 1 = 860
860 ÷ 2 = 430
860 ÷ 4 = 215
860 ÷ 5 = 172
860 ÷ 10 = 86
860 ÷ 20 = 43
Therefore, the factors of 860 are: 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 860 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
860 ÷ 2 = 430
430 ÷ 2 = 215
215 ÷ 5 = 43
43 ÷ 43 = 1
The prime factors of 860 are 2, 5, and 43.
The prime factorization of 860 is: 2 × 5 × 43.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 860 is divided by 2 to get 430.
Step 2: Now divide 430 by 2 to get 215.
Step 3: Then divide 215 by 5 to get 43. Here, 43 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 860 is: 2 × 5 × 43.
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 860: (1, 860), (2, 430), (4, 215), (5, 172), (10, 86), (20, 43).
Negative factor pairs of 860: (-1, -860), (-2, -430), (-4, -215), (-5, -172), (-10, -86), (-20, -43).
Common Mistakes and How to Avoid Them in Factors of 860
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 860, 1 and 860 are also factors.
Factors of 860 Examples
Problem 1
There are 20 teams and 860 participants. How will they divide them equally?
They will get 43 participants each.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
860/20 = 43
Problem 2
A garden is rectangular, the length of the garden is 43 meters, and the total area is 860 square meters. Find the width?
20 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
860 = 43 × width
To find the value of width, we need to shift 43 to the left side.
860/43 = width
Width = 20.
Problem 3
There are 86 baskets and 860 fruits. How many fruits will be in each basket?
Each basket will have 10 fruits.
Explanation
To find the fruits in each basket, divide the total fruits by the baskets.
860/86 = 10
Problem 4
In a camp, there are 860 campers, and 43 tents. How many campers are there in each tent?
There are 20 campers in each tent.
Explanation
Dividing the campers by the total tents, we will get the number of campers in each tent.
860/43 = 20
Problem 5
860 books need to be arranged in 43 stacks. How many books will go in each stack?
Each of the stacks has 20 books.
Explanation
Divide total books by the stacks.
860/43 = 20
FAQs on Factors of 860
1.What are the factors of 860?
2.Mention the prime factors of 860.
3.Is 860 a multiple of 5?
4.Mention the factor pairs of 860?
5.What is the square of 860?
Important Glossaries for Factor of 860
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, and 860.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 43 are prime factors of 860.
- 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 860 are (1, 860), (2, 430), etc.
- Prime factorization: Breaking down the number into the product of prime numbers. For example, the prime factorization of 860 is 2 × 5 × 43.
- Division method: A method to find factors by dividing the number until the remainder is zero, listing those divisors as factors. For example, using the division method to find factors of 860.
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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.
