Factors of 1037
2026-02-28 09:08 Diff
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Last updated on December 12, 2025

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.

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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: 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.

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Problem 1

A library has 1037 books, and they want to arrange them on 1 shelf. How many books will be on the shelf?

Okay, lets begin

All 1037 books will be on the shelf.

Explanation

Since the shelf can accommodate all the books, the total number of books is 1037.

Well explained 👍

Problem 2

A team of 1037 people wants to form groups of 1 person each. How many groups will there be?

Okay, lets begin

There will be 1037 groups.

Explanation

Each group contains 1 person, so the number of groups is equal to the number of people, 1037.

Well explained 👍

Problem 3

A company has 1037 shares to distribute equally among its 1 investor. How many shares will the investor get?

Okay, lets begin

The investor will get all 1037 shares.

Explanation

Since there is only one investor, they will receive all the shares, totaling 1037.

Well explained 👍

Problem 4

A theater has 1 row with 1037 seats. How many seats are in each row?

Okay, lets begin

Each row has 1037 seats.

Explanation

The given number of seats per row is already 1037.

Well explained 👍

Problem 5

A farm has 1037 trees planted in a single line. How many trees are there in each line?

Okay, lets begin

There are 1037 trees in the line.

Explanation

Since all trees are in a single line, the total number of trees is 1037.

Well explained 👍

FAQs on Factors of 1037

1.What are the factors of 1037?

1 and 1037 are the factors of 1037.

2.Mention the prime factors of 1037.

The prime factor of 1037 is 1037 itself.

3.Is 1037 a multiple of 3?

4.Mention the factor pairs of 1037?

(1, 1037) is the factor pair of 1037.

5.Is 1037 a prime number?

Yes, 1037 is a prime number.

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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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.