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 1925, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1925 evenly are known as factors of 1925.
A factor of 1925 is a number that divides the number without remainder.
The factors of 1925 are 1, 5, 7, 25, 35, 275, 385, and 1925.
Negative factors of 1925: -1, -5, -7, -25, -35, -275, -385, and -1925.
Prime factors of 1925: 5, 7, and 11.
Prime factorization of 1925: 5 × 5 × 7 × 11.
The sum of factors of 1925: 1 + 5 + 7 + 25 + 35 + 275 + 385 + 1925 = 2658
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 1925. Identifying the numbers that are multiplied to get the number 1925 is the multiplication method.
Step 1: Multiply 1925 by 1, 1925 × 1 = 1925.
Step 2: Check for other numbers that give 1925 after multiplying
5 × 385 = 1925
7 × 275 = 1925
25 × 77 = 1925
35 × 55 = 1925
Therefore, the positive factor pairs of 1925 are: (1, 1925), (5, 385), (7, 275), (25, 77), and (35, 55). For every positive factor, there is a negative factor.
Dividing the given numbers with whole numbers until the remainder becomes zero and listing the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1925 by 1, 1925 ÷ 1 = 1925.
Step 2: Continue dividing 1925 by the numbers until the remainder becomes 0.
1925 ÷ 1 = 1925
1925 ÷ 5 = 385
1925 ÷ 7 = 275
1925 ÷ 25 = 77
1925 ÷ 35 = 55
Therefore, the factors of 1925 are: 1, 5, 7, 25, 35, 275, 385, and 1925.
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 1925 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1925 ÷ 5 = 385
385 ÷ 5 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1
The prime factors of 1925 are 5, 7, and 11.
The prime factorization of 1925 is: 5 × 5 × 7 × 11.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1925 is divided by 5 to get 385.
Step 2: Now divide 385 by 5 to get 77.
Step 3: Then divide 77 by 7 to get 11. Here, 11 is a prime number and cannot be divided anymore. So, the prime factorization of 1925 is: 5 × 5 × 7 × 11.
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 1925: (1, 1925), (5, 385), (7, 275), (25, 77), and (35, 55).
Negative factor pairs of 1925: (-1, -1925), (-5, -385), (-7, -275), (-25, -77), and (-35, -55).
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 5 teachers and 385 books. How will they distribute them equally?
They will get 77 books each.
To distribute the books equally, we need to divide the total books by the number of teachers.
385/5 = 77
A rectangular banner has a length of 25 meters and a total area of 1925 square meters. Find the width.
77 meters.
To find the width of the banner, we use the formula, Area = length × width
1925 = 25 × width
To find the value of width, we need to shift 25 to the left side.
1925/25 = width
Width = 77.
There are 7 trucks and 1925 packages. How many packages will be in each truck?
Each truck will have 275 packages.
To find the packages in each truck, divide the total packages by the number of trucks.
1925/7 = 275
In a warehouse, there are 385 boxes, and 5 storage units. How many boxes are there in each storage unit?
There are 77 boxes in each storage unit.
Dividing the boxes by the total storage units, we will get the number of boxes in each unit.
385/5 = 77
275 containers need to be placed on 7 shelves. How many containers will go on each shelf?
Each of the shelves has 39 containers.
Divide total containers by the number of shelves.
275/7 = 39
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.