118 LearnersLast updated on May 26th, 2025
Factors of 1036
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 1036, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1036?
The numbers that divide 1036 evenly are known as factors of 1036.
A factor of 1036 is a number that divides the number without remainder.
The factors of 1036 are 1, 2, 4, 7, 13, 14, 28, 37, 52, 74, 91, 148, 259, 518, and 1036.
Negative factors of 1036: -1, -2, -4, -7, -13, -14, -28, -37, -52, -74, -91, -148, -259, -518, and -1036.
Prime factors of 1036: 2, 7, and 37.
Prime factorization of 1036: 2² × 7 × 37.
The sum of factors of 1036: 1 + 2 + 4 + 7 + 13 + 14 + 28 + 37 + 52 + 74 + 91 + 148 + 259 + 518 + 1036 = 2286
How to Find Factors of 1036?
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 1036. Identifying the numbers which are multiplied to get the number 1036 is the multiplication method.
Step 1: Multiply 1036 by 1, 1036 × 1 = 1036.
Step 2: Check for other numbers that give 1036 after multiplying
2 × 518 = 1036
4 × 259 = 1036
7 × 148 = 1036
14 × 74 = 1036
28 × 37 = 1036
Therefore, the positive factor pairs of 1036 are: (1, 1036), (2, 518), (4, 259), (7, 148), (14, 74), (28, 37). All these factor pairs result in 1036. 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 1036 by 1, 1036 ÷ 1 = 1036.
Step 2: Continue dividing 1036 by the numbers until the remainder becomes 0.
1036 ÷ 1 = 1036
1036 ÷ 2 = 518
1036 ÷ 4 = 259
1036 ÷ 7 = 148
1036 ÷ 13 = 79.692 (not a factor)
1036 ÷ 14 = 74
1036 ÷ 28 = 37
Therefore, the factors of 1036 are: 1, 2, 4, 7, 14, 28, 37, 52, 74, 91, 148, 259, 518, 1036.
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 1036 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1036 ÷ 2 = 518
518 ÷ 2 = 259
259 ÷ 7 = 37
37 ÷ 37 = 1
The prime factors of 1036 are 2, 7, and 37.
The prime factorization of 1036 is: 2² × 7 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1036 is divided by 2 to get 518.
Step 2: Now divide 518 by 2 to get 259.
Step 3: Then divide 259 by 7 to get 37.
Step 4: 37 is a prime number and cannot be divided further. So, the prime factorization of 1036 is: 2² × 7 × 37.
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 1036: (1, 1036), (2, 518), (4, 259), (7, 148), (14, 74), (28, 37).
Negative factor pairs of 1036: (-1, -1036), (-2, -518), (-4, -259), (-7, -148), (-14, -74), (-28, -37).
Common Mistakes and How to Avoid Them in Factors of 1036
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 1036, 1 and 1036 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 1036 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1036/1.5 = 690.666, 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 1036 are prime numbers.
For example, 2, 7, and 37 are the prime factors of 1036, but it has other factors like 4, 14.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1036 as 2² × 7 × 37 and missing all the key factors.
Factors of 1036 Examples
Problem 1
There are 1036 apples and 28 baskets. How many apples will be in each basket?
Each basket will have 37 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
1036/28 = 37
Problem 2
A rectangular garden has a length of 14 meters and a total area of 1036 square meters. Find the width.
74 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1036 = 14 × width
To find the value of width, we need to shift 14 to the left side.
1036/14 = width
Width = 74.
Problem 3
A factory produces 1036 widgets in 37 batches. How many widgets are in each batch?
Each batch will have 28 widgets.
Explanation
To find the number of widgets in each batch, divide the total widgets by the number of batches.
1036/37 = 28
Problem 4
There are 148 students in a school and they are to be evenly divided into 7 classes. How many students will be in each class?
There are 21 students in each class.
Explanation
Dividing the students with the total classes, we will get the number of students in each class.
148/7 = 21
Problem 5
A warehouse has 1036 boxes and needs to arrange them in 4 rows. How many boxes will each row contain?
Each row will have 259 boxes.
Explanation
Divide the total boxes by the number of rows.
1036/4 = 259
FAQs on Factors of 1036
1.What are the factors of 1036?
2.Mention the prime factors of 1036.
3.Is 1036 a multiple of 13?
4.Mention the factor pairs of 1036?
5.What is the square of 1036?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1036?
7.What are some fun ways kids in Thailand can practice Factors of 1036 with numbers?
8.What role do numbers and Factors of 1036 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1036 skills?
Important Glossaries for Factors of 1036
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1036 are 1, 2, 4, 7, 13, 14, 28, 37, 52, 74, 91, 148, 259, 518, and 1036.
- Prime factors: The factors which are prime numbers. For example, 2, 7, and 37 are prime factors of 1036.
- 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 1036 are (1, 1036), (2, 518), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1036 is 2² × 7 × 37.
- Multiple: A number that can be divided by another number without a remainder. For example, 1036 is a multiple of 13.
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About BrightChamps in Thailand
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.
