100 LearnersLast updated on May 26th, 2025
Factors of 1457
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 1457, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1457?
The numbers that divide 1457 evenly are known as factors of 1457.
A factor of 1457 is a number that divides the number without remainder.
The factors of 1457 are 1, 3, 13, 39, 373, and 1457.
Negative factors of 1457: -1, -3, -13, -39, -373, and -1457.
Prime factors of 1457: 3 and 13.
Prime factorization of 1457: 3 × 13 × 37.
The sum of factors of 1457: 1 + 3 + 13 + 39 + 373 + 1457 = 1886
How to Find Factors of 1457?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 1457. Identifying the numbers which are multiplied to get the number 1457 is the multiplication method.
Step 1: Multiply 1457 by 1, 1457 × 1 = 1457.
Step 2: Check for other numbers that give 1457 after multiplying
3 × 485.67 ≠ 1457 (not a whole number)
13 × 112.08 ≠ 1457 (not a whole number)
37 × 39 = 1457
Therefore, the positive factor pairs of 1457 are: (1, 1457), (3, 39), and (13, 37).
All these factor pairs result in 1457.
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 as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1457 by 1, 1457 ÷ 1 = 1457.
Step 2: Continue dividing 1457 by the numbers until the remainder becomes 0.
1457 ÷ 1 = 1457
1457 ÷ 3 = 485.67 (not a whole number)
1457 ÷ 13 = 112.08 (not a whole number)
1457 ÷ 37 = 39
Therefore, the factors of 1457 are: 1, 3, 13, 37, and 1457.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. 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 1457 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1457 ÷ 3 = 485.67 (not a whole number)
1457 ÷ 13 = 112.08 (not a whole number)
1457 ÷ 37 = 39
The prime factors of 1457 are 3, 13, and 37.
The prime factorization of 1457 is: 3 × 13 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1457 is divided by 37 to get 39.
Step 2: Now divide 39 by 3 to get 13.
Step 3: Divide 13 by 1 to get 13, as it is a prime number and cannot be divided further.
So, the prime factorization of 1457 is: 3 × 13 × 37.
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 pairs of 1457: (1, 1457), (3, 485.67), (13, 112.08), and (37, 39).
Negative factor pairs of 1457: (-1, -1457), (-3, -485.67), (-13, -112.08), and (-37, -39).
Common Mistakes and How to Avoid Them in Factors of 1457
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 1457, 1 and 1457 are also factors.
Factors of 1457 Examples
Problem 1
There are 3 teams and 1457 balloons. How will they divide it equally?
They cannot divide it equally, as 1457 is not divisible by 3 without a remainder.
Explanation
To divide the balloons equally, we need to divide the total balloons with the number of teams.
1457/3 = 485.67 (not a whole number)
Problem 2
A rectangular board has a length of 37 feet and a total area of 1457 square feet. Find the width?
39 feet.
Explanation
To find the width of the board, we use the formula,
Area = length × width
1457 = 37 × width
To find the value of width, we need to shift 37 to the left side.
1457/37 = width
Width = 39.
Problem 3
There are 13 trucks and 1457 crates. How many crates will be in each truck?
Each truck will have 112.08 crates, which means they cannot divide them evenly without splitting crates.
Explanation
To find the crates in each truck, divide the total crates with the number of trucks.
1457/13 = 112.08 (not a whole number)
Problem 4
In a camp, there are 1457 tents and 39 groups. How many tents are there in each group?
Each group has 37 tents.
Explanation
Dividing the tents with the total groups, we will get the number of tents in each group.
1457/39 = 37
Problem 5
A warehouse has 1457 boxes to be arranged in 13 rows. How many boxes will be in each row?
Each row will have 112.08 boxes, which means they cannot be arranged evenly into whole numbers.
Explanation
Divide the total boxes with the number of rows.
1457/13 = 112.08 (not a whole number)
FAQs on Factors of 1457
1.What are the factors of 1457?
2.Mention the prime factors of 1457.
3.Is 1457 a multiple of 13?
4.Mention the factor pairs of 1457?
5.What is the square of 1457?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1457?
7.What are some fun ways kids in Vietnam can practice Factors of 1457 with numbers?
8.What role do numbers and Factors of 1457 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1457 skills?
Important Glossaries for Factor of 1457
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1457 are 1, 3, 13, 37, 39, 373, and 1457.
- Prime factors: The factors which are prime numbers. For example, 3, 13, and 37 are prime factors of 1457.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1457 are (1, 1457), (3, 39), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, 1457 can be expressed as 3 × 13 × 37.
- Division method: A method of finding factors by dividing the number by whole numbers to see if the remainder is zero.
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About BrightChamps in Vietnam
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.
