105 LearnersLast updated on May 26th, 2025
Factors of 632
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 632, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 632?
The numbers that divide 632 evenly are known as factors of 632. A factor of 632 is a number that divides the number without remainder. The factors of 632 are 1, 2, 4, 8, 79, 158, 316, and 632.
Negative factors of 632: -1, -2, -4, -8, -79, -158, -316, and -632.
Prime factors of 632: 2 and 79.
Prime factorization of 632: 23 × 79.
The sum of factors of 632: 1 + 2 + 4 + 8 + 79 + 158 + 316 + 632 = 1200
How to Find Factors of 632?
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 632. Identifying the numbers which are multiplied to get the number 632 is the multiplication method.
Step 1: Multiply 632 by 1, 632 × 1 = 632.
Step 2: Check for other numbers that give 632 after multiplying
2 × 316 = 632
4 × 158 = 632
8 × 79 = 632
Therefore, the positive factor pairs of 632 are: (1, 632), (2, 316), (4, 158), (8, 79). All these factor pairs result in 632. 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 a whole number as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 632 by 1, 632 ÷ 1 = 632.
Step 2: Continue dividing 632 by the numbers until the remainder becomes 0.
632 ÷ 1 = 632
632 ÷ 2 = 316
632 ÷ 4 = 158
632 ÷ 8 = 79
Therefore, the factors of 632 are: 1, 2, 4, 8, 79, 158, 316, 632.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 632 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
632 ÷ 2 = 316
316 ÷ 2 = 158
158 ÷ 2 = 79
79 ÷ 79 = 1
The prime factors of 632 are 2 and 79. The prime factorization of 632 is: 23 × 79.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 632 is divided by 2 to get 316.
Step 2: Now divide 316 by 2 to get 158.
Step 3: Then divide 158 by 2 to get 79. Here, 79 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 632 is: 23 × 79.
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 632: (1, 632), (2, 316), (4, 158), and (8, 79).
- Negative factor pairs of 632: (-1, -632), (-2, -316), (-4, -158), and (-8, -79).
Common Mistakes and How to Avoid Them in Factors of 632
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 word. Always remember to include 1 and the number itself. For example, in factors of 632, 1 and 632 are also factors.
Factors of 632 Examples
Problem 1
There are 8 people and 632 marbles. How will they distribute it equally?
They will get 79 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles with the number of people.
632/8 = 79
Problem 2
A rectangular garden has a length of 79 meters and a total area of 632 square meters. Find the width?
8 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
632 = 79 × width
To find the value of width, we need to shift 79 to the left side.
632/79 = width
Width = 8.
Problem 3
There are 2 boxes and 632 candies. How many candies will be in each box?
Each box will have 316 candies.
Explanation
To find the candies in each box, divide the total candies with the boxes.
632/2 = 316
Problem 4
In a class, there are 632 new books, and 4 shelves. How many books can be placed in each shelf?
There are 158 books in each shelf.
Explanation
Dividing the new books with the total shelves, we will get the number of books in each shelf.
632/4 = 158
Problem 5
632 participants need to be organized in 79 teams. How many participants will be in each team?
Each of the teams will have 8 participants.
Explanation
Divide the total participants with the teams.
632/79 = 8
FAQs on Factors of 632
1.What are the factors of 632?
2.Mention the prime factors of 632.
3.Is 632 a multiple of 8?
4.Mention the factor pairs of 632?
5.What is the square of 632?
Important Glossaries for Factors of 632
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 632 are 1, 2, 4, 8, 79, 158, 316, and 632.
- Prime factors: The factors which are prime numbers. For example, 2 and 79 are prime factors of 632.
- 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 632 are (1, 632), (2, 316), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, 632 can be expressed as 23 × 79.
- Multiple: A multiple of a number is the product of that number and an integer. For example, 632 is a multiple of 8.
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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.
