Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 15 students and 1425 pencils. How will they divide them equally?
They will get 95 pencils each.
To divide the pencils equally, we need to divide the total pencils by the number of students.
1425/15 = 95
A rectangular garden has a length of 95 meters and a total area of 1425 square meters. Find the width.
15 meters.
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.
There are 19 boxes and 1425 marbles. How many marbles will be in each box?
Each box will have 75 marbles.
To find the marbles in each box, divide the total marbles by the boxes.
1425/19 = 75
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.
Dividing the students by the total groups, we will get the number of students in each group.
285/5 = 57
1425 books need to be arranged in 25 shelves. How many books will go on each shelf?
Each of the shelves has 57 books.
Divide total books by shelves.
1425/25 = 57
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.
: She loves to read number jokes and games.