103 LearnersLast updated on May 26th, 2025
Factors of 1058
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 1058, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1058?
The numbers that divide 1058 evenly are known as factors of 1058.
A factor of 1058 is a number that divides the number without remainder.
The factors of 1058 are 1, 2, 23, 46, 529, and 1058.
Negative factors of 1058: -1, -2, -23, -46, -529, and -1058.
Prime factors of 1058: 2 and 23.
Prime factorization of 1058: 2 × 23 × 23.
The sum of factors of 1058: 1 + 2 + 23 + 46 + 529 + 1058 = 1659
How to Find Factors of 1058?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1058. Identifying the numbers which are multiplied to get the number 1058 is the multiplication method.
Step 1: Multiply 1058 by 1, 1058 × 1 = 1058.
Step 2: Check for other numbers that give 1058 after multiplying
2 × 529 = 1058
23 × 46 = 1058
Therefore, the positive factor pairs of 1058 are: (1, 1058), (2, 529), and (23, 46). All these factor pairs result in 1058. 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 1058 by 1, 1058 ÷ 1 = 1058.
Step 2: Continue dividing 1058 by the numbers until the remainder becomes 0.
1058 ÷ 1 = 1058
1058 ÷ 2 = 529
1058 ÷ 23 = 46
Therefore, the factors of 1058 are: 1, 2, 23, 46, 529, 1058.
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 1058 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1058 ÷ 2 = 529
529 ÷ 23 = 23
23 ÷ 23 = 1
The prime factors of 1058 are 2 and 23. The prime factorization of 1058 is: 2 × 23 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1058 is divided by 2 to get 529.
Step 2: Now divide 529 by 23 to get 23. Here, 23 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1058 is: 2 × 23 × 23.
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 1058: (1, 1058), (2, 529), and (23, 46).
Negative factor pairs of 1058: (-1, -1058), (-2, -529), and (-23, -46).
Common Mistakes and How to Avoid Them in Factors of 1058
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 1058, 1 and 1058 is also a factor.
Factors of 1058 Examples
Problem 1
There are 23 teams and 1058 participants. How will they be divided equally among the teams?
They will have 46 participants each.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
1058/23 = 46
Problem 2
A piece of fabric is rectangular, the length of the fabric is 2 meters, and the total area is 1058 square meters. Find the width?
529 meters.
Explanation
To find the width of the fabric, we use the formula,
Area = length × width
1058 = 2 × width
To find the value of width, we need to shift 2 to the left side.
1058/2 = width
Width = 529.
Problem 3
There are 529 boxes and 1058 toys. How many toys will be in each box?
Each box will have 2 toys.
Explanation
To find the toys in each box, divide the total toys by the boxes.
1058/529 = 2
Problem 4
In a school, there are 1058 students, and 46 buses. How many students are there in each bus?
There are 23 students in each bus.
Explanation
Dividing the students by the total buses, we will get the number of students in each bus.
1058/46 = 23
Problem 5
1058 pages need to be arranged in 23 folders. How many pages will go in each folder?
Each of the folders has 46 pages.
Explanation
Divide total pages by folders.
1058/23 = 46
FAQs on Factors of 1058
1.What are the factors of 1058?
2.Mention the prime factors of 1058.
3.Is 1058 a multiple of 23?
4.Mention the factor pairs of 1058?
5.What is the square of 1058?
6.How can children in India use numbers in everyday life to understand Factors of 1058?
7.What are some fun ways kids in India can practice Factors of 1058 with numbers?
8.What role do numbers and Factors of 1058 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1058 skills?
Important Glossaries for Factor of 1058
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1058 are 1, 2, 23, 46, 529, and 1058.
- Prime factors: The factors which are prime numbers. For example, 2 and 23 are prime factors of 1058.
- 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 1058 are (1, 1058), (2, 529), etc.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
- Division method: A method to find factors by dividing the original number by integers and checking for a remainder of zero.
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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.
