101 LearnersLast updated on May 26th, 2025
Factors of 437
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like dividing items equally, arranging objects, etc. In this topic, we will learn about the factors of 437, how they are used in real life, and tips to learn them quickly.
What are the Factors of 437?
The numbers that divide 437 evenly are known as factors of 437.
A factor of 437 is a number that divides the number without remainder.
The factors of 437 are 1 and 437.
Negative factors of 437: -1 and -437.
Prime factors of 437: 19 and 23.
Prime factorization of 437: 19 × 23.
The sum of factors of 437: 1 + 437 = 438
How to Find Factors of 437?
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 437. Identifying the numbers which are multiplied to get the number 437 is the multiplication method.
Step 1: Multiply 437 by 1, 437 × 1 = 437.
There are no other whole number pairs that can be multiplied to get 437, besides 19 and 23, which are prime factors.
Therefore, the factor pairs of 437 are: (1, 437).
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 in whole numbers as factors.
Factors can be calculated by following the simple division method:
Step 1: Divide 437 by 1, 437 ÷ 1 = 437.
Since 437 is a prime number, there are no other divisors.
Therefore, the factors of 437 are: 1 and 437.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 437 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
437 ÷ 19 = 23 23 ÷ 23 = 1
The prime factors of 437 are 19 and 23. The prime factorization of 437 is: 19 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 437 is divided by 19 to get 23.
Step 2: 23 is a prime number and cannot be divided further.
So, the prime factorization of 437 is: 19 × 23.
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 437: (1, 437).
Negative factor pairs of 437: (-1, -437).
Common Mistakes and How to Avoid Them in Factors of 437
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 integer. Always remember to include 1 and the number itself.
For example, in factors of 437, 1 and 437 are also factors.
Factors of 437 Examples
Problem 1
A club has 437 members and wants to create a committee with all members. How many ways can this be done equally?
There is only one way to create a committee with all members.
Explanation
To create a committee with all members, we need to divide the total number of members by itself, which gives:
437/437 = 1
Problem 2
A rectangular garden has a length of 19 meters and an area of 437 square meters. Find the width.
23 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
437 = 19 × width
To find the value of width, we need to shift 19 to the left side.
437/19 = width
Width = 23.
Problem 3
There are 437 apples and each box can hold 19 apples. How many full boxes can be made?
22 full boxes.
Explanation
To find the number of full boxes, divide the total apples by the apples per box.
437/19 = 23
Problem 4
A concert has 437 seats and they are arranged in 1 row. How many seats are there in the row?
437 seats in the row.
Explanation
Since all seats are in one row, the number of seats is the same as the total number.
437/1 = 437
Problem 5
If 437 pages need to be printed and each printer prints 1 page per minute, how long will it take to print all pages using one printer?
437 minutes.
Explanation
Since each printer prints 1 page per minute, printing 437 pages will take:
437/1 = 437 minutes
FAQs on Factors of 437
1.What are the factors of 437?
2.Mention the prime factors of 437.
3.Is 437 a multiple of 19?
4.Mention the factor pairs of 437.
5.What is the square of 437?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 437?
7.What are some fun ways kids in United Kingdom can practice Factors of 437 with numbers?
8.What role do numbers and Factors of 437 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 437 skills?
Important Glossaries for Factor of 437
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 437 are 1 and 437.
- Prime factors: The factors which are prime numbers. For example, 19 and 23 are prime factors of 437.
- 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 437 are (1, 437).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 437 is 19 × 23.
- Multiplication method: A way to find factors by identifying pairs of numbers that multiply to give the original number.
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About BrightChamps in United Kingdom
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.
