119 LearnersLast updated on May 26th, 2025
Factors of 1357
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.
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
- Using factor tree
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.
Mistake 1
Forgetting the number itself and 1 is a factor
People might forget to add the given number itself and 1 as factors. 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 1357, 1 and 1357 are also factors.
Mistake 2
Ignoring Prime Status
Since 1357 is a prime number, it can only have two factors: 1 and itself. Forgetting its prime status might lead to incorrect factorization.
Mistake 3
Including the Fraction
Sometimes fractions might be mistakenly considered as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor would be incorrect as 1357 divided by 1.5 does not result in a whole number.
Mistake 4
Confusing Factors With Multiples
Remember that factors are numbers that divide the original number without a remainder, not multiples.
For example, thinking all multiples of 1357 are factors is incorrect.
Mistake 5
Mistake in Prime Identification
Mistaking a prime number for a composite one can lead to wrong conclusions. Always verify if a number is prime before listing factors.
Factors of 1357 Examples
Problem 1
There are 1357 apples and 1 basket. How will they be contained?
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.
Problem 2
A wall is 1357 meters long and needs to be painted by one worker. How long does one worker paint?
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.
Problem 3
There are 1357 marbles and 1 container. How many marbles will go in the container?
All 1357 marbles will go in the container.
Explanation
Since there's only one container, all 1357 marbles fit into it.
Problem 4
A track is 1357 meters long, and a single athlete runs it. How far does the athlete run?
The athlete runs the entire 1357 meters.
Explanation
With only one athlete, they will run the full length of the track, 1357 meters.
Problem 5
1357 pages need to be reviewed by one editor. How many pages will the editor review?
The editor will review all 1357 pages.
Explanation
With only one editor, they will review the entire 1357 pages.
FAQs on Factors of 1357
1.What are the factors of 1357?
2.Is 1357 a prime number?
3.Can 1357 be divided by any other number except 1 and itself?
4.What are the factor pairs of 1357?
5.What is the square of 1357?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1357?
7.What are some fun ways kids in Thailand can practice Factors of 1357 with numbers?
8.What role do numbers and Factors of 1357 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1357 skills?
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.
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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.
