103 LearnersLast updated on May 26th, 2025
Factors of 427
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 427, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 427?
The numbers that divide 427 evenly are known as factors of 427.
A factor of 427 is a number that divides the number without remainder.
The factors of 427 are 1 and 427.
Negative factors of 427: -1 and -427.
Prime factors of 427: 7 and 61.
Prime factorization of 427: 7 × 61.
The sum of factors of 427: 1 + 427 = 428
How to Find Factors of 427?
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 427. Identifying the numbers which are multiplied to get the number 427 is the multiplication method.
Step 1: Multiply 427 by 1, 427 × 1 = 427.
Step 2: Check for other numbers that give 427 after multiplying.
Since 427 is a product of two prime numbers, it only has the factor pairs (1, 427) and (-1, -427).
Therefore, the positive factor pairs of 427 are: (1, 427).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers 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 427 by 1, 427 ÷ 1 = 427.
Step 2: Continue dividing 427 by other numbers to check if they divide evenly without a remainder.
Since 427 is a product of two primes, no other numbers divide it evenly without remainder.
Therefore, the factors of 427 are: 1 and 427.
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 427 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
427 ÷ 7 = 61
61 ÷ 61 = 1
The prime factors of 427 are 7 and 61.
The prime factorization of 427 is: 7 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 427 is divided by 7 to get 61.
Step 2: Now divide 61 by itself to get 1.
Here, 61 is a prime number and cannot be divided further.
So, the prime factorization of 427 is: 7 × 61.
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 427: (1, 427).
Negative factor pairs of 427: (-1, -427).
Common Mistakes and How to Avoid Them in Factors of 427
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 number. Always remember to include 1 and the number itself.
For example, in factors of 427, 1 and 427 are also factors.
Factors of 427 Examples
Problem 1
There are 7 friends and 427 candies. How will they divide it equally?
They will get 61 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
427/7 = 61
Problem 2
A field is rectangular, the length of the field is 7 meters, and the total area is 427 square meters. Find the width?
61 meters.
Explanation
To find the width of the field, we use the formula:
Area = length × width
427 = 7 × width
To find the width, divide 427 by 7.
427/7 = width
Width = 61.
Problem 3
There are 61 bags and 427 marbles. How many marbles will be in each bag?
Each bag will have 7 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the bags.
427/61 = 7
Problem 4
In a class, there are 427 students, and 7 groups. How many students are there in each group?
There are 61 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
427/7 = 61
Problem 5
427 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each shelf will have 61 books.
Explanation
Divide total books by shelves.
427/7 = 61
FAQs on Factors of 427
1.What are the factors of 427?
2.Mention the prime factors of 427.
3.Is 427 a multiple of 7?
4.Mention the factor pairs of 427?
5.What is the square of 427?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 427?
7.What are some fun ways kids in Vietnam can practice Factors of 427 with numbers?
8.What role do numbers and Factors of 427 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 427 skills?
Important Glossaries for Factors of 427
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 427 are 1 and 427.
- Prime factors: The factors which are prime numbers. For example, 7 and 61 are prime factors of 427.
- 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 427 is (1, 427).
- Prime factorization: The process of breaking down a number into its prime factors, such as 427 = 7 × 61.
- Negative factors: Factors that are negative, such as -1 and -427 for the number 427.
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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.
