100 LearnersLast updated on May 26th, 2025
Factors of 858
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 858, how they are used in real life, and tips to learn them quickly.
What are the Factors of 858?
The numbers that divide 858 evenly are known as factors of 858.
A factor of 858 is a number that divides the number without remainder.
The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, and 858.
Negative factors of 858: -1, -2, -3, -6, -11, -13, -22, -26, -33, -39, -66, -78, -143, -286, -429, and -858.
Prime factors of 858: 2, 3, 11, and 13.
Prime factorization of 858: 2 × 3 × 11 × 13.
The sum of factors of 858: 1 + 2 + 3 + 6 + 11 + 13 + 22 + 26 + 33 + 39 + 66 + 78 + 143 + 286 + 429 + 858 = 2016
How to Find Factors of 858?
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 858. Identifying the numbers which are multiplied to get the number 858 is the multiplication method.
Step 1: Multiply 858 by 1, 858 × 1 = 858.
Step 2: Check for other numbers that give 858 after multiplying
2 × 429 = 858
3 × 286 = 858
6 × 143 = 858
11 × 78 = 858
13 × 66 = 858
22 × 39 = 858
26 × 33 = 858
Therefore, the positive factor pairs of 858 are: (1, 858), (2, 429), (3, 286), (6, 143), (11, 78), (13, 66), (22, 39), and (26, 33).
All these factor pairs result in 858.
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 858 by 1, 858 ÷ 1 = 858.
Step 2: Continue dividing 858 by the numbers until the remainder becomes 0.
858 ÷ 1 = 858
858 ÷ 2 = 429
858 ÷ 3 = 286
858 ÷ 6 = 143
858 ÷ 11 = 78
858 ÷ 13 = 66
858 ÷ 22 = 39
858 ÷ 26 = 33
Therefore, the factors of 858 are: 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858.
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 858 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
858 ÷ 2 = 429
429 ÷ 3 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1
The prime factors of 858 are 2, 3, 11, and 13.
The prime factorization of 858 is: 2 × 3 × 11 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 858 is divided by 2 to get 429.
Step 2: Now divide 429 by 3 to get 143.
Step 3: Then divide 143 by 11 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 858 is: 2 × 3 × 11 × 13.
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 858: (1, 858), (2, 429), (3, 286), (6, 143), (11, 78), (13, 66), (22, 39), and (26, 33).
Negative factor pairs of 858: (-1, -858), (-2, -429), (-3, -286), (-6, -143), (-11, -78), (-13, -66), (-22, -39), and (-26, -33).
Common Mistakes and How to Avoid Them in Factors of 858
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 858, 1 and 858 are also factors.
Factors of 858 Examples
Problem 1
There are 13 friends and 858 marbles. How will they divide it equally?
They will get 66 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
858/13 = 66
Problem 2
A field is rectangular, the length of the field is 39 meters and the total area is 858 square meters. Find the width?
22 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width
858 = 39 × width
To find the value of width, we need to shift 39 to the left side.
858/39 = width
Width = 22.
Problem 3
There are 6 boxes and 858 books. How many books will be in each box?
Each box will have 143 books.
Explanation
To find the books in each box, divide the total books by the boxes.
858/6 = 143
Problem 4
In a class, there are 858 students, and 11 groups. How many students are there in each group?
There are 78 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
858/11 = 78
Problem 5
858 apples need to be arranged in 3 baskets. How many apples will go in each basket?
Each of the baskets has 286 apples.
Explanation
Divide total apples by baskets.
858/3 = 286
FAQs on Factors of 858
1.What are the factors of 858?
2.Mention the prime factors of 858.
3.Is 858 a multiple of 13?
4.Mention the factor pairs of 858?
5.What is the square of 858?
Important Glossaries for Factor of 858
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, and 858.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 11, and 13 are prime factors of 858.
- 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 858 are (1, 858), (2, 429), etc.
- Division method: A method to find factors by dividing the number by other numbers to see which divisions result in whole numbers.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 858 is 2 × 3 × 11 × 13.
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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.
