123 LearnersLast updated on May 26th, 2025
Factors of 1037
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 1037, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1037?
The numbers that divide 1037 evenly are known as factors of 1037.
A factor of 1037 is a number that divides the number without remainder.
The factors of 1037 are 1 and 1037.
Negative factors of 1037: -1 and -1037.
Prime factors of 1037: 1037.
Prime factorization of 1037: 1037.
The sum of factors of 1037: 1 + 1037 = 1038
How to Find Factors of 1037?
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 1037. Identifying the numbers which are multiplied to get the number 1037 is the multiplication method.
Step 1: Multiply 1037 by 1, 1037 × 1 = 1037. There are no other whole numbers that multiply to give 1037 besides 1 and 1037.
Therefore, the positive factor pairs of 1037 are: (1, 1037). 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 in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1037 by 1, 1037 ÷ 1 = 1037.
Step 2: Check other numbers until 1037 for division.
Since no other divisions result in a whole number other than 1 and 1037, the factors of 1037 are: 1 and 1037.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 1037 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1037 is a prime number, and itself is the only prime factor.
The prime factorization of 1037 is: 1037.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. Since 1037 is a prime number, the factor tree would show 1037 branching directly to itself with no further divisions.
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 pair of 1037: (1, 1037).
Negative factor pair of 1037: (-1, -1037).
Common Mistakes and How to Avoid Them in Factors of 1037
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1037, 1 and 1037 are the factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1037 consist of -1 and -1037.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 0.5 as a factor, because 1037/0.5 = 2074, 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 1037 are prime numbers. In this case, although 1037 is a prime, it can be a mistake in other contexts.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not recognizing 1037 as a prime number and incorrectly finding factors.
Factors of 1037 Examples
Problem 1
A library has 1037 books, and they want to arrange them on 1 shelf. How many books will be on the shelf?
All 1037 books will be on the shelf.
Explanation
Since the shelf can accommodate all the books, the total number of books is 1037.
Problem 2
A team of 1037 people wants to form groups of 1 person each. How many groups will there be?
There will be 1037 groups.
Explanation
Each group contains 1 person, so the number of groups is equal to the number of people, 1037.
Problem 3
A company has 1037 shares to distribute equally among its 1 investor. How many shares will the investor get?
The investor will get all 1037 shares.
Explanation
Since there is only one investor, they will receive all the shares, totaling 1037.
Problem 4
A theater has 1 row with 1037 seats. How many seats are in each row?
Each row has 1037 seats.
Explanation
The given number of seats per row is already 1037.
Problem 5
A farm has 1037 trees planted in a single line. How many trees are there in each line?
There are 1037 trees in the line.
Explanation
Since all trees are in a single line, the total number of trees is 1037.
FAQs on Factors of 1037
1.What are the factors of 1037?
2.Mention the prime factors of 1037.
3.Is 1037 a multiple of 3?
4.Mention the factor pairs of 1037?
5.Is 1037 a prime number?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1037?
7.What are some fun ways kids in Bahrain can practice Factors of 1037 with numbers?
8.What role do numbers and Factors of 1037 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1037 skills?
Important Glossaries for Factors of 1037
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1037 are 1 and 1037.
- Prime factors: The factors which are prime numbers. For example, 1037 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1037 is (1, 1037).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 1037 is a prime number.
- Negative factors: The negative counterparts of the factors of a number. For example, the negative factors of 1037 are -1 and -1037.
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About BrightChamps in Bahrain
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.
