Last updated on May 26th, 2025
Factors are the numbers that divide a 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 25000, how they are used in real life, and tips to learn them quickly.
The numbers that divide 25000 evenly are known as factors of 25000.
A factor of 25000 is a number that divides the number without remainder.
The factors of 25000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 500, 625, 1250, 2500, 5000, 12500, and 25000.
Negative factors of 25000: -1, -2, -4, -5, -8, -10, -16, -20, -25, -40, -50, -80, -100, -125, -200, -250, -500, -625, -1250, -2500, -5000, -12500, and -25000.
Prime factors of 25000: 2 and 5.
Prime factorization of 25000: 24 × 56.
The sum of factors of 25000: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 40 + 50 + 80 + 100 + 125 + 200 + 250 + 500 + 625 + 1250 + 2500 + 5000 + 12500 + 25000 = 65535
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 25000. Identifying the numbers which are multiplied to get the number 25000 is the multiplication method.
Step 1: Multiply 25000 by 1, 25000 × 1 = 25000.
Step 2: Check for other numbers that give 25000 after multiplying
2 × 12500 = 25000
4 × 6250 = 25000
5 × 5000 = 25000
8 × 3125 = 25000
10 × 2500 = 25000
25 × 1000 = 25000
50 × 500 = 25000
100 × 250 = 25000
125 × 200 = 25000
250 × 100 = 25000
500 × 50 = 25000
625 × 40 = 25000
1250 × 20 = 25000
2500 × 10 = 25000
5000 × 5 = 25000
12500 × 2 = 25000
Therefore, the positive factor pairs of 25000 are: (1, 25000), (2, 12500), (4, 6250), (5, 5000), (8, 3125), (10, 2500), (25, 1000), (50, 500), (100, 250), (125, 200), (250, 100), (500, 50), (625, 40), (1250, 20), (2500, 10), (5000, 5), (12500, 2). For every positive factor, there is a negative factor.
Dividing the given number with 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 the simple division method -
Step 1: Divide 25000 by 1, 25000 ÷ 1 = 25000.
Step 2: Continue dividing 25000 by the numbers until the remainder becomes 0.
25000 ÷ 1 = 25000
25000 ÷ 2 = 12500
25000 ÷ 4 = 6250
25000 ÷ 5 = 5000
25000 ÷ 8 = 3125
25000 ÷ 10 = 2500
25000 ÷ 25 = 1000
25000 ÷ 50 = 500
25000 ÷ 100 = 250
25000 ÷ 125 = 200
25000 ÷ 250 = 100
25000 ÷ 500 = 50
25000 ÷ 625 = 40
25000 ÷ 1250 = 20
25000 ÷ 2500 = 10
Therefore, the factors of 25000 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 500, 625, 1250, 2500, 5000, 12500, 25000.
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 25000 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
25000 ÷ 2 = 12500
12500 ÷ 2 = 6250
6250 ÷ 2 = 3125
3125 ÷ 5 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 25000 are 2 and 5.
The prime factorization of 25000 is: 24 × 56.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 25000 is divided by 2 to get 12500.
Step 2: Now divide 12500 by 2 to get 6250.
Step 3: Then divide 6250 by 2 to get 3125.
Step 4: Divide 3125 by 5 to get 625.
Step 5: Divide 625 by 5 to get 125.
Step 6: Divide 125 by 5 to get 25.
Step 7: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 25000 is: 24 × 56.
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 25000: (1, 25000), (2, 12500), (4, 6250), (5, 5000), (8, 3125), (10, 2500), (25, 1000), (50, 500), (100, 250), (125, 200), (250, 100), (500, 50), (625, 40), (1250, 20), (2500, 10), (5000, 5), (12500, 2).
Negative factor pairs of 25000: (-1, -25000), (-2, -12500), (-4, -6250), (-5, -5000), (-8, -3125), (-10, -2500), (-25, -1000), (-50, -500), (-100, -250), (-125, -200), (-250, -100), (-500, -50), (-625, -40), (-1250, -20), (-2500, -10), (-5000, -5), (-12500, -2).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and ways to avoid them.
A carpenter has 25000 nails and 250 boxes. How many nails will go in each box?
Each box will have 100 nails.
To determine the number of nails in each box, divide the total nails by the number of boxes.
25000/250 = 100
A rectangular garden has an area of 25000 square meters, and its width is 125 meters. What is its length?
200 meters.
To find the length of the garden, use the formula,
Area = length × width
25000 = length × 125
To find the value of length, divide the area by the width.
25000/125 = length
Length = 200.
There are 5000 apples that need to be divided equally among 25 baskets. How many apples will each basket contain?
Each basket will contain 200 apples.
To find the apples in each basket, divide the total apples by the number of baskets.
5000/25 = 200
A farmer has a field that is 500 meters long and 50 meters wide. Calculate the area of the field.
The area of the field is 25000 square meters.
To find the area of the field, use the formula,
Area = length × width
Area = 500 × 50 = 25000 square meters
25000 seeds need to be packed into 125 bags. How many seeds will go in each bag?
Each bag will have 200 seeds.
Divide the total seeds by the number of bags.
25000/125 = 200
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.