104 LearnersLast updated on May 26th, 2025
Factors of 478
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 478, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 478?
The numbers that divide 478 evenly are known as factors of 478.
A factor of 478 is a number that divides the number without remainder.
The factors of 478 are 1, 2, 239, and 478.
Negative factors of 478: -1, -2, -239, and -478.
Prime factors of 478: 2 and 239.
Prime factorization of 478: 2 × 239.
The sum of factors of 478: 1 + 2 + 239 + 478 = 720
How to Find Factors of 478?
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 478. Identifying the numbers which are multiplied to get the number 478 is the multiplication method.
Step 1: Multiply 478 by 1, 478 × 1 = 478.
Step 2: Check for other numbers that give 478 after multiplying
2 × 239 = 478
Therefore, the positive factor pairs of 478 are: (1, 478) and (2, 239).
All these factor pairs result in 478.
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 478 by 1, 478 ÷ 1 = 478.
Step 2: Continue dividing 478 by the numbers until the remainder becomes 0.
478 ÷ 1 = 478
478 ÷ 2 = 239
Therefore, the factors of 478 are: 1, 2, 239, 478.
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 478 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
478 ÷ 2 = 239
239 ÷ 239 = 1
The prime factors of 478 are 2 and 239.
The prime factorization of 478 is: 2 × 239.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 478 is divided by 2 to get 239.
Step 2: Now, 239 is a prime number, so it cannot be divided further. So, the prime factorization of 478 is: 2 × 239.
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 478: (1, 478) and (2, 239).
Negative factor pairs of 478: (-1, -478) and (-2, -239).
Common Mistakes and How to Avoid Them in Factors of 478
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and 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 478, 1 and 478 are also factors.
Factors of 478 Examples
Problem 1
There are 478 pencils and 2 boxes. How will they be divided equally?
Each box will get 239 pencils.
Explanation
To divide the pencils equally, we need to divide the total pencils with the number of boxes.
478/2 = 239
Problem 2
A piece of ribbon is 478 cm long, and you want to cut it into equal pieces of 2 cm each. How many pieces will you get?
You will get 239 pieces.
Explanation
To find how many pieces can be cut, divide the total length by the length of each piece.
478/2 = 239
Problem 3
A delivery of 478 bottles needs to be packed in boxes, each box holds 239 bottles. How many boxes are needed?
2 boxes are needed.
Explanation
To find the number of boxes needed, divide the total bottles by the capacity of each box.
478/239 = 2
Problem 4
You have 478 marbles and want to distribute them in 239 bags equally. How many marbles will each bag have?
Each bag will have 2 marbles.
Explanation
Dividing the total marbles with the number of bags, we will get the number of marbles in each bag.
478/239 = 2
Problem 5
478 pages need to be printed, and each printer can print 239 pages per hour. How many hours will it take to print all pages using one printer?
It will take 2 hours.
Explanation
Divide the total pages by pages printed per hour.
478/239 = 2
FAQs on Factors of 478
1.What are the factors of 478?
2.Mention the prime factors of 478.
3.Is 478 a multiple of 2?
4.Mention the factor pairs of 478?
5.What is the square of 478?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 478?
7.What are some fun ways kids in United Kingdom can practice Factors of 478 with numbers?
8.What role do numbers and Factors of 478 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 478 skills?
Important Glossaries for Factors of 478
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 478 are 1, 2, 239, and 478.
- Prime Factors: The factors which are prime numbers. For example, 2 and 239 are prime factors of 478.
- 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 478 are (1, 478) and (2, 239).
- Prime Factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 478 is 2 × 239.
- Negative Factors: Factors of a number that are negative. For example, -1, -2, -239, and -478 are negative factors of 478.
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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.
