126 LearnersLast updated on May 26th, 2025
Factors of 1425
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 1425, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1425?
The numbers that divide 1425 evenly are known as factors of 1425.
A factor of 1425 is a number that divides the number without remainder.
The factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, and 1425.
Negative factors of 1425: -1, -3, -5, -15, -19, -25, -57, -75, -95, -285, -475, and -1425.
Prime factors of 1425: 3, 5, and 19.
Prime factorization of 1425: 3 × 52 × 19.
The sum of factors of 1425: 1 + 3 + 5 + 15 + 19 + 25 + 57 + 75 + 95 + 285 + 475 + 1425 = 2480
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How to Find Factors of 1425?
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 1425. Identifying the numbers which are multiplied to get the number 1425 is the multiplication method.
Step 1: Multiply 1425 by 1, 1425 × 1 = 1425.
Step 2: Check for other numbers that give 1425 after multiplying.
3 × 475 = 1425
5 × 285 = 1425
15 × 95 = 1425
19 × 75 = 1425
25 × 57 = 1425
Therefore, the positive factor pairs of 1425 are: (1, 1425), (3, 475), (5, 285), (15, 95), (19, 75), (25, 57).
All these factor pairs result in 1425.
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 1425 by 1, 1425 ÷ 1 = 1425.
Step 2: Continue dividing 1425 by the numbers until the remainder becomes 0.
1425 ÷ 1 = 1425
1425 ÷ 3 = 475
1425 ÷ 5 = 285
1425 ÷ 15 = 95
1425 ÷ 19 = 75
1425 ÷ 25 = 57
Therefore, the factors of 1425 are: 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425.
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 1425 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1425 ÷ 3 = 475
475 ÷ 5 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1
The prime factors of 1425 are 3, 5, and 19. The prime factorization of 1425 is: 3 × 52 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1425 is divided by 3 to get 475.
Step 2: Now divide 475 by 5 to get 95.
Step 3: Then divide 95 by 5 to get 19. Here, 19 is a prime number that cannot be divided anymore.
So, the prime factorization of 1425 is: 3 × 52 × 19.
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 1425: (1, 1425), (3, 475), (5, 285), (15, 95), (19, 75), and (25, 57).
Negative factor pairs of 1425: (-1, -1425), (-3, -475), (-5, -285), (-15, -95), (-19, -75), and (-25, -57).
Common Mistakes and How to Avoid Them in Factors of 1425
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 1425, 1 and 1425 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1425 consist of -1, -3, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor because 1425/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1425 are prime numbers.
For example, 3 and 5 are the prime factors of 1425, but it has other factors like 15, 25.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1425 as 3 × 52 × 19 and missing all the key factors.
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Factors of 1425 Examples
Problem 1
There are 15 students and 1425 pencils. How will they divide them equally?
They will get 95 pencils each.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of students.
1425/15 = 95
Problem 2
A rectangular garden has a length of 95 meters and a total area of 1425 square meters. Find the width.
15 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1425 = 95 × width
To find the value of width, we need to shift 95 to the left side.
1425/95 = width
Width = 15.
Problem 3
There are 19 boxes and 1425 marbles. How many marbles will be in each box?
Each box will have 75 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
1425/19 = 75
Problem 4
In a class, there are 285 students and 5 groups. How many students are there in each group?
There are 57 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
285/5 = 57
Problem 5
1425 books need to be arranged in 25 shelves. How many books will go on each shelf?
Each of the shelves has 57 books.
Explanation
Divide total books by shelves.
1425/25 = 57
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FAQs on Factors of 1425
1.What are the factors of 1425?
2.Mention the prime factors of 1425.
3.Is 1425, a multiple of 19?
4.Mention the factor pairs of 1425?
5.What is the square of 1425?
6.How can children in Canada use numbers in everyday life to understand Factors of 1425?
7.What are some fun ways kids in Canada can practice Factors of 1425 with numbers?
8.What role do numbers and Factors of 1425 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1425 skills?
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Important Glossaries for Factor of 1425
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, and 1425.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 19 are prime factors of 1425.
- 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 1425 are (1, 1425), (3, 475), etc.
- Prime factorization: The expression of a number as the multiplication of its prime factors. For example, the prime factorization of 1425 is 3 × 52 × 19.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1425 is a multiple of 19.
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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.
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