107 LearnersLast updated on May 26th, 2025
Factors of 628
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 628, how they are used in real life, and tips to learn them quickly.
What are the Factors of 628?
The numbers that divide 628 evenly are known as factors of 628. A factor of 628 is a number that divides the number without remainder. The factors of 628 are 1, 2, 4, 157, 314, and 628.
Negative factors of 628: -1, -2, -4, -157, -314, and -628.
Prime factors of 628: 2 and 157.
Prime factorization of 628: 2² × 157.
The sum of factors of 628: 1 + 2 + 4 + 157 + 314 + 628 = 1106
How to Find Factors of 628?
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 628. Identifying the numbers which are multiplied to get the number 628 is the multiplication method.
Step 1: Multiply 628 by 1, 628 × 1 = 628.
Step 2: Check for other numbers that give 628 after multiplying
2 × 314 = 628
4 × 157 = 628
Therefore, the positive factor pairs of 628 are: (1, 628), (2, 314), (4, 157). All these factor pairs result in 628. 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 628 by 1, 628 ÷ 1 = 628.
Step 2: Continue dividing 628 by the numbers until the remainder becomes 0.
628 ÷ 1 = 628
628 ÷ 2 = 314
628 ÷ 4 = 157
Therefore, the factors of 628 are: 1, 2, 4, 157, 314, and 628.
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 628 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
628 ÷ 2 = 314
314 ÷ 2 = 157
157 ÷ 157 = 1
The prime factors of 628 are 2 and 157. The prime factorization of 628 is: 2² × 157.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 628 is divided by 2 to get 314.
Step 2: Now divide 314 by 2 to get 157.
Step 3: Here, 157 is a prime number and cannot be divided further. So, the prime factorization of 628 is: 2² × 157.
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 628: (1, 628), (2, 314), and (4, 157).
- Negative factor pairs of 628: (-1, -628), (-2, -314), and (-4, -157).
Common Mistakes and How to Avoid Them in Factors of 628
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 628, 1 and 628 are also factors.
Factors of 628 Examples
Problem 1
There are 628 apples to be equally distributed among 4 baskets. How many apples will each basket have?
Each basket will have 157 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
628/4 = 157
Problem 2
A rectangular garden has an area of 628 square meters, and its width is 2 meters. What is the length of the garden?
314 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
628 = length × 2
To find the value of length, we need to shift 2 to the left side.
628/2 = length
Length = 314.
Problem 3
There are 314 chairs to be arranged equally in 2 rows. How many chairs will each row have?
Each row will have 157 chairs.
Explanation
To find the chairs in each row, divide the total chairs by the number of rows.
314/2 = 157
Problem 4
In a competition, there are 628 participants, and they need to be grouped into 4 teams. How many participants will there be in each team?
There will be 157 participants in each team.
Explanation
Dividing the participants by the total number of teams, we will get the number of participants in each team.
628/4 = 157
Problem 5
A library has 628 books to be equally distributed on 2 shelves. How many books will go on each shelf?
Each of the shelves will have 314 books.
Explanation
Divide total books by shelves.
628/2 = 314
FAQs on Factors of 628
1.What are the factors of 628?
2.Mention the prime factors of 628.
3.Is 628 a multiple of 4?
4.Mention the factor pairs of 628?
5.What is the square of 628?
Important Glossaries for Factor of 628
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 628 are 1, 2, 4, 157, 314, and 628.
- Prime factors: The factors which are prime numbers. For example, 2 and 157 are prime factors of 628.
- 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 628 are (1, 628), (2, 314), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, 2² × 157 is the prime factorization of 628.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 628 is a multiple of 4.
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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.
