101 LearnersLast updated on May 26th, 2025
Factors of 425
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 425, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 425?
The numbers that divide 425 evenly are known as factors of 425.
A factor of 425 is a number that divides the number without remainder.
The factors of 425 are 1, 5, 17, 25, 85, and 425.
Negative factors of 425: -1, -5, -17, -25, -85, and -425.
Prime factors of 425: 5 and 17.
Prime factorization of 425: 5 × 5 × 17.
The sum of factors of 425: 1 + 5 + 17 + 25 + 85 + 425 = 558
How to Find Factors of 425?
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 425. Identifying the numbers which are multiplied to get the number 425 is the multiplication method.
Step 1: Multiply 425 by 1, 425 × 1 = 425.
Step 2: Check for other numbers that give 425 after multiplying 5 × 85 = 425 17 × 25 = 425
Therefore, the positive factor pairs of 425 are: (1, 425), (5, 85), and (17, 25).
All these factor pairs result in 425.
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 numbers as factors.Factors can be calculated by following simple division method -
Step 1: Divide 425 by 1, 425 ÷ 1 = 425.
Step 2: Continue dividing 425 by the numbers until the remainder becomes 0.
425 ÷ 1 = 425
425 ÷ 5 = 85
425 ÷ 17 = 25
425 ÷ 25 = 17
425 ÷ 85 = 5
Therefore, the factors of 425 are: 1, 5, 17, 25, 85, 425.
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 425 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
425 ÷ 5 = 85
85 ÷ 5 = 17
17 ÷ 17 = 1
The prime factors of 425 are 5 and 17.
The prime factorization of 425 is: 5 × 5 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 425 is divided by 5 to get 85.
Step 2: Now divide 85 by 5 to get 17.
Step 3: 17 is a prime number and cannot be divided further.
So, the prime factorization of 425 is: 5 × 5 × 17.
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 425: (1, 425), (5, 85), and (17, 25).
Negative factor pairs of 425: (-1, -425), (-5, -85), and (-17, -25).
Common Mistakes and How to Avoid Them in Factors of 425
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 425, 1 and 425 are also factors.
Factors of 425 Examples
Problem 1
There are 5 friends and 425 candies. How will they divide it equally?
They will get 85 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
425/5 = 85
Problem 2
A painting is rectangular, the height of the painting is 25 inches and the total area is 425 square inches. Find the width?
17 inches.
Explanation
To find the width of the painting, we use the formula,
Area = height × width
425 = 25 × width
To find the value of width, we need to shift 25 to the left side.
425/25 = width
Width = 17.
Problem 3
There are 17 gift boxes and 425 chocolates. How many chocolates will be in each box?
Each box will have 25 chocolates.
Explanation
To find the chocolates in each box, divide the total chocolates by the number of boxes.
425/17 = 25
Problem 4
In a workshop, there are 85 participants, and 5 groups. How many participants are there in each group?
There are 17 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
85/5 = 17
Problem 5
425 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 85 books.
Explanation
Divide total books by shelves.
425/5 = 85
FAQs on Factors of 425
1.What are the factors of 425?
2.Mention the prime factors of 425.
3.Is 425 a multiple of 5?
4.Mention the factor pairs of 425?
5.What is the square of 425?
6.How can children in Canada use numbers in everyday life to understand Factors of 425?
7.What are some fun ways kids in Canada can practice Factors of 425 with numbers?
8.What role do numbers and Factors of 425 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 425 skills?
Important Glossaries for Factor of 425
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 425 are 1, 5, 17, 25, 85, and 425.
- Prime factors: The factors which are prime numbers. For example, 5 and 17 are prime factors of 425.
- 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 425 are (1, 425), (5, 85), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 425 is 5 × 5 × 17.
- Multiples: A multiple of a number is the product of that number and an integer. For example, 425 is a multiple of 5.
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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.
