102 LearnersLast updated on May 26th, 2025
Factors of 435
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 435, how they are used in real life, and tips to learn them quickly.
What are the Factors of 435?
The numbers that divide 435 evenly are known as factors of 435.
A factor of 435 is a number that divides the number without remainder.
The factors of 435 are 1, 3, 5, 15, 29, 87, 145, and 435.
Negative factors of 435: -1, -3, -5, -15, -29, -87, -145, and -435.
Prime factors of 435: 3, 5, and 29.
Prime factorization of 435: 3 × 5 × 29.
The sum of factors of 435: 1 + 3 + 5 + 15 + 29 + 87 + 145 + 435 = 720
How to Find Factors of 435?
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 435. Identifying the numbers which are multiplied to get the number 435 is the multiplication method.
Step 1: Multiply 435 by 1, 435 × 1 = 435.
Step 2: Check for other numbers that give 435 after multiplying
3 × 145 = 435
5 × 87 = 435
15 × 29 = 435
Therefore, the positive factor pairs of 435 are: (1, 435), (3, 145), (5, 87), (15, 29).
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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 435 by 1, 435 ÷ 1 = 435.
Step 2: Continue dividing 435 by the numbers until the remainder becomes 0.
435 ÷ 1 = 435
435 ÷ 3 = 145
435 ÷ 5 = 87
435 ÷ 15 = 29
Therefore, the factors of 435 are: 1, 3, 5, 15, 29, 87, 145, 435.
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 435 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
435 ÷ 3 = 145
145 ÷ 5 = 29
29 ÷ 29 = 1
The prime factors of 435 are 3, 5, and 29.
The prime factorization of 435 is: 3 × 5 × 29.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 435 is divided by 3 to get 145.
Step 2: Now divide 145 by 5 to get 29.
Step 3: 29 is a prime number and cannot be divided further.
So, the prime factorization of 435 is: 3 × 5 × 29.
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 435: (1, 435), (3, 145), (5, 87), and (15, 29).
Negative factor pairs of 435: (-1, -435), (-3, -145), (-5, -87), and (-15, -29).
Common Mistakes and How to Avoid Them in Factors of 435
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 435, 1 and 435 are also factors.
Factors of 435 Examples
Problem 1
There are 29 teams and 435 participants. How will they divide them equally?
They will get 15 participants each.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
435/29 = 15
Problem 2
A garden is rectangular, the length of the garden is 15 meters and the total area is 435 square meters. Find the width.
29 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
435 = 15 × width
To find the value of width, we need to shift 15 to the left side.
435/15 = width
Width = 29.
Problem 3
There are 87 boxes and 435 toys. How many toys will be in each box?
Each box will have 5 toys.
Explanation
To find the toys in each box, divide the total toys by the boxes.
435/87 = 5
Problem 4
In a class, there are 435 students, and 5 groups. How many students are there in each group?
There are 87 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
435/5 = 87
Problem 5
435 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 145 books.
Explanation
Divide total books by shelves.
435/3 = 145
FAQs on Factors of 435
1.What are the factors of 435?
2.Mention the prime factors of 435.
3.Is 435 a multiple of 5?
4.Mention the factor pairs of 435?
5.What is the square of 435?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 435?
7.What are some fun ways kids in United Kingdom can practice Factors of 435 with numbers?
8.What role do numbers and Factors of 435 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 435 skills?
Important Glossaries for Factor of 435
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 435 are 1, 3, 5, 15, 29, 87, 145, and 435.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 29 are prime factors of 435.
- 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 435 are (1, 435), (3, 145), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For instance, the prime factorization of 435 is 3 × 5 × 29.
- Negative factors: Factors of a number that are negative. For example, -1, -3, -5, -15, -29, -87, -145, -435 are negative factors of 435.
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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.
