Last updated on May 26th, 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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 1357 apples and 1 basket. How will they be contained?
All apples will be in the basket.
To contain all apples equally, since there's only one basket, all 1357 apples go into that basket.
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.
Since there is only one worker, they will paint the entire length of the wall, 1357 meters.
There are 1357 marbles and 1 container. How many marbles will go in the container?
All 1357 marbles will go in the container.
Since there's only one container, all 1357 marbles fit into it.
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.
With only one athlete, they will run the full length of the track, 1357 meters.
1357 pages need to be reviewed by one editor. How many pages will the editor review?
The editor will review all 1357 pages.
With only one editor, they will review the entire 1357 pages.
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.
: She loves to read number jokes and games.