Factors of 1357
2026-02-28 01:16 Diff
https://brightchamps.com/en-us/math/numbers/factors-of-1357

195 Learners

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 1357, how they are used in real life, and tips to learn them quickly.

What are the Factors of 1357?

The numbers that divide 1357 evenly are known as factors of 1357.

A factor of 1357 is a number that divides the number without remainder.

The factors of 1357 are 1 and 1357, as it is a prime number.

Negative factors of 1357: -1 and -1357.

Prime factors of 1357: 1357 (since it is a prime number).

The sum of factors of 1357: 1 + 1357 = 1358

How to Find Factors of 1357?

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 1357. Since 1357 is a prime number, the only possible multiplication is:

Step 1: Multiply 1357 by 1, 1357 × 1 = 1357.

Therefore, the only positive factor pair of 1357 is: (1, 1357). For every positive factor, there is a negative factor.

Explore Our Programs

Finding Factors Using Division Method

Dividing the given number 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 1357 by 1, 1357 ÷ 1 = 1357.

Step 2: Check other numbers until the remainder becomes 0.

Since 1357 is a prime number, no other divisions result in whole numbers except dividing by itself.

Therefore, the factors of 1357 are: 1 and 1357.

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: Since 1357 is a prime number, the prime factorization involves only itself.

The prime factor of 1357 is 1357.

The prime factorization of 1357 is: 1357.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1357 is a prime number, it cannot be broken down further. It stands alone as its own factor.

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 1357: (1, 1357).

Negative factor pair of 1357: (-1, -1357).

Common Mistakes and How to Avoid Them in Factors of 1357

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

Download Worksheets

Problem 1

There are 1357 apples and 1 basket. How will they be contained?

Okay, lets begin

All apples will be in the basket.

Explanation

To contain all apples equally, since there's only one basket, all 1357 apples go into that basket.

Well explained 👍

Problem 2

A wall is 1357 meters long and needs to be painted by one worker. How long does one worker paint?

Okay, lets begin

The worker will paint the entire 1357 meters.

Explanation

Since there is only one worker, they will paint the entire length of the wall, 1357 meters.

Well explained 👍

Problem 3

There are 1357 marbles and 1 container. How many marbles will go in the container?

Okay, lets begin

All 1357 marbles will go in the container.

Explanation

Since there's only one container, all 1357 marbles fit into it.

Well explained 👍

Problem 4

A track is 1357 meters long, and a single athlete runs it. How far does the athlete run?

Okay, lets begin

The athlete runs the entire 1357 meters.

Explanation

With only one athlete, they will run the full length of the track, 1357 meters.

Well explained 👍

Problem 5

1357 pages need to be reviewed by one editor. How many pages will the editor review?

Okay, lets begin

The editor will review all 1357 pages.

Explanation

With only one editor, they will review the entire 1357 pages.

Well explained 👍

FAQs on Factors of 1357

1.What are the factors of 1357?

1 and 1357 are the factors of 1357.

2.Is 1357 a prime number?

Yes, 1357 is a prime number.

3.Can 1357 be divided by any other number except 1 and itself?

No, 1357 cannot be divided evenly by any other number except 1 and itself, as it is a prime number.

4.What are the factor pairs of 1357?

(1, 1357) is the factor pair of 1357.

5.What is the square of 1357?

The square of 1357 is 1840649.

Important Glossaries for Factor of 1357

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1357 are 1 and 1357.
     
  • Prime Number: A number greater than 1 that has no divisors other than 1 and itself. For example, 1357 is prime.
     
  • Prime Factorization: The process of determining the prime numbers that multiply together to give a particular product. For 1357, the prime factorization is 1357 itself since it's a prime number.
     
  • 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 1357 is (1, 1357).
     
  • Multiplicative Identity: The number 1, which does not change any number it multiplies. For any number n, n × 1 = n.

What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math

▶

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.