121 LearnersLast updated on May 26th, 2025
Factors of 1060
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 1060, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1060?
The numbers that divide 1060 evenly are known as factors of 1060.
A factor of 1060 is a number that divides the number without remainder.
The factors of 1060 are 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, and 1060.
Negative factors of 1060: -1, -2, -4, -5, -10, -20, -53, -106, -212, -265, -530, and -1060.
Prime factors of 1060: 2, 5, and 53.
Prime factorization of 1060: 2² × 5 × 53.
The sum of factors of 1060: 1 + 2 + 4 + 5 + 10 + 20 + 53 + 106 + 212 + 265 + 530 + 1060 = 2268
How to Find Factors of 1060?
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 1060. Identifying the numbers which are multiplied to get the number 1060 is the multiplication method.
Step 1: Multiply 1060 by 1, 1060 × 1 = 1060.
Step 2: Check for other numbers that give 1060 after multiplying
2 × 530 = 1060
4 × 265 = 1060
5 × 212 = 1060
10 × 106 = 1060
20 × 53 = 1060
Therefore, the positive factor pairs of 1060 are: (1, 1060), (2, 530), (4, 265), (5, 212), (10, 106), (20, 53). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by 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 1060 by 1, 1060 ÷ 1 = 1060.
Step 2: Continue dividing 1060 by the numbers until the remainder becomes 0.
1060 ÷ 1 = 1060
1060 ÷ 2 = 530
1060 ÷ 4 = 265
1060 ÷ 5 = 212
1060 ÷ 10 = 106
1060 ÷ 20 = 53
Therefore, the factors of 1060 are: 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060.
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 1060 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1060 ÷ 2 = 530
530 ÷ 2 = 265
265 ÷ 5 = 53
53 ÷ 53 = 1
The prime factors of 1060 are 2, 5, and 53.
The prime factorization of 1060 is: 2² × 5 × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1060 is divided by 2 to get 530.
Step 2: Now divide 530 by 2 to get 265.
Step 3: Then divide 265 by 5 to get 53. Here, 53 is the smallest prime number, which cannot be divided anymore.
So, the prime factorization of 1060 is: 2² × 5 × 53.
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 1060: (1, 1060), (2, 530), (4, 265), (5, 212), (10, 106), (20, 53).
Negative factor pairs of 1060: (-1, -1060), (-2, -530), (-4, -265), (-5, -212), (-10, -106), (-20, -53).
Common Mistakes and How to Avoid Them in Factors of 1060
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 1060, 1 and 1060 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1060 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1060/1.5 = 706.666, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1060 are prime numbers.
For example, 2, 5, and 53 are the prime factors of 1060, but it has other factors like 4, 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1060 as 2² × 5 × 53 and missing all the key factors.
Factors of 1060 Examples
Problem 1
There are 53 boxes and 1060 toys. How will they distribute them equally?
They will get 20 toys each.
Explanation
To divide the toys equally, we need to divide the total toys by the number of boxes.
1060/53 = 20
Problem 2
A rectangular swimming pool has a length of 53 meters, and the total area is 1060 square meters. Find the width.
20 meters.
Explanation
To find the width of the pool, we use the formula,
Area = length × width
1060 = 53 × width
To find the value of width, we need to shift 53 to the left side.
1060/53 = width
Width = 20.
Problem 3
There are 4 teams and 1060 points. How many points will each team have if distributed equally?
Each team will have 265 points.
Explanation
To find the points each team will have, divide the total points by the number of teams.
1060/4 = 265
Problem 4
In a class, there are 53 students, and 20 groups. How many students are there in each group if arranged equally?
There are 2 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
53/20 = 2.65 (rounding to 2 because groups cannot have fractional students)
Problem 5
1060 books need to be arranged in 53 shelves. How many books will go on each shelf?
Each of the shelves has 20 books.
Explanation
Divide total books by shelves.
1060/53 = 20
FAQs on Factors of 1060
1.What are the factors of 1060?
2.Mention the prime factors of 1060.
3.Is 1060 a multiple of 5?
4.Mention the factor pairs of 1060?
5.What is the square of 1060?
6.How can children in Philippines use numbers in everyday life to understand Factors of 1060?
7.What are some fun ways kids in Philippines can practice Factors of 1060 with numbers?
8.What role do numbers and Factors of 1060 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 1060 skills?
Important Glossaries for Factors of 1060
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1060 are 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, and 1060.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 53 are prime factors of 1060.
- 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 1060 are (1, 1060), (2, 530), etc.
- Prime factorization: Breaking down a number into its prime factors. For 1060, this is 2² × 5 × 53.
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the original number. For example, for 1060, some factor pairs are (20, 53) and (4, 265).
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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
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