103 LearnersLast updated on May 26th, 2025
Factors of 458
Factors are the numbers that divide any given number evenly without a 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 458, how they are used in real life, and tips to learn them quickly.
What are the Factors of 458?
The numbers that divide 458 evenly are known as factors of 458.
A factor of 458 is a number that divides the number without a remainder.
The factors of 458 are 1, 2, 229, and 458.
Negative factors of 458: -1, -2, -229, and -458.
Prime factors of 458: 2 and 229.
Prime factorization of 458: 2 × 229.
The sum of factors of 458: 1 + 2 + 229 + 458 = 690
How to Find Factors of 458?
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 458. Identifying the numbers which are multiplied to get the number 458 is the multiplication method.
Step 1: Multiply 458 by 1, 458 × 1 = 458.
Step 2: Check for other numbers that give 458 after multiplying 2 × 229 = 458
Therefore, the positive factor pairs of 458 are: (1, 458) and (2, 229). All these factor pairs result in 458.
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 458 by 1, 458 ÷ 1 = 458.
Step 2: Continue dividing 458 by the numbers until the remainder becomes 0.
458 ÷ 1 = 458
458 ÷ 2 = 229
Therefore, the factors of 458 are: 1, 2, 229, 458.
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 458 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
458 ÷ 2 = 229
229 is a prime number and cannot be divided further.
The prime factors of 458 are 2 and 229.
The prime factorization of 458 is: 2 × 229.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 458 is divided by 2 to get 229. Here, 229 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 458 is: 2 × 229.
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 458: (1, 458) and (2, 229).
Negative factor pairs of 458: (-1, -458) and (-2, -229).
Common Mistakes and How to Avoid Them in Factors of 458
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 458, 1 and 458 are also factors.
Factors of 458 Examples
Problem 1
There are 229 students and 458 candies. How will they divide it equally?
They will get 2 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of students.
458/229 = 2
Problem 2
A rectangular garden has a width of 2 meters and the total area is 458 square meters. Find the length.
229 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
458 = length × 2
To find the value of length, we need to shift 2 to the left side.
458/2 = length
Length = 229.
Problem 3
There are 2 trucks and 458 boxes. How many boxes will be in each truck?
Each truck will have 229 boxes.
Explanation
To find the boxes in each truck, divide the total boxes by the trucks.
458/2 = 229
Problem 4
In a school, there are 458 students and 229 pairs of shoes. How many students get a pair of shoes each?
2 students get a pair of shoes each.
Explanation
Dividing the pairs of shoes by the total number of students, we will get the number of students who get a pair of shoes each.
458/229 = 2
Problem 5
458 pieces of paper need to be arranged into 2 stacks. How many pieces will go in each stack?
Each of the stacks has 229 pieces of paper.
Explanation
Divide total pieces by stacks.
458/2 = 229
FAQs on Factors of 458
1.What are the factors of 458?
2.Mention the prime factors of 458.
3.Is 458 a multiple of 2?
4.Mention the factor pairs of 458?
5.What is the square of 458?
Important Glossaries for Factor of 458
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 458 are 1, 2, 229, and 458.
- Prime factors: The factors which are prime numbers. For example, 2 and 229 are prime factors of 458.
- 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 458 are (1, 458) and (2, 229).
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 458 is 2 × 229.
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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.
