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 75000, how they are used in real life, and tips to learn them quickly.
The numbers that divide 75000 evenly are known as factors of 75000.
A factor of 75000 is a number that divides the number without remainder.
The factors of 75000 include 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 7500, 9375, 10000, 12500, 15000, 18750, 25000, 37500, and 75000.
Negative factors of 75000: -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -40, -48, -50, -60, -75, -80, -100, -120, -125, -150, -200, -240, -250, -300, -375, -400, -500, -600, -750, -1000, -1500, -1875, -2000, -2500, -3000, -3750, -5000, -7500, -9375, -10000, -12500, -15000, -18750, -25000, -37500, and -75000.
Prime factors of 75000: 2, 3, and 5.
Prime factorization of 75000: 23 × 3 × 54
. The sum of factors of 75000: 234225
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 75000. Identifying the numbers which are multiplied to get the number 75000 is the multiplication method.
Step 1: Multiply 75000 by 1, 75000 × 1 = 75000.
Step 2: Check for other numbers that give 75000 after multiplying
2 × 37500 = 75000
3 × 25000 = 75000
4 × 18750 = 75000
5 × 15000 = 75000
Therefore, the positive factor pairs of 75000 include: (1, 75000), (2, 37500), (3, 25000), (4, 18750), (5, 15000), and so on. 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 a whole number as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 75000 by 1, 75000 ÷ 1 = 75000.
Step 2: Continue dividing 75000 by the numbers until the remainder becomes 0.
75000 ÷ 1 = 75000
75000 ÷ 2 = 37500
75000 ÷ 3 = 25000
75000 ÷ 4 = 18750
75000 ÷ 5 = 15000
Therefore, the factors of 75000 include: 1, 2, 3, 4, 5, and many others.
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 75000 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
75000 ÷ 2 = 37500
37500 ÷ 2 = 18750
18750 ÷ 2 = 9375
9375 ÷ 3 = 3125
3125 ÷ 5 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 75000 are 2, 3, and 5.
The prime factorization of 75000 is: 23 × 3 × 54.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 75000 is divided by 2 to get 37500.
Step 2: Now divide 37500 by 2 to get 18750.
Step 3: Then divide 18750 by 2 to get 9375.
Step 4: Divide 9375 by 3 to get 3125.
Step 5: Divide 3125 by 5 to get 625.
Step 6: Divide 625 by 5 to get 125.
Step 7: Divide 125 by 5 to get 25.
Step 8: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 75000 is: 23 × 3 × 54.
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 75000 include: (1, 75000), (2, 37500), (3, 25000), (4, 18750), (5, 15000), etc.
Negative factor pairs of 75000 include: (-1, -75000), (-2, -37500), (-3, -25000), (-4, -18750), (-5, -15000), etc.
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 750 students in a school and 75000 pencils. How will they divide the pencils equally?
They will get 100 pencils each.
To divide the pencils equally, we need to divide the total pencils by the number of students.
75000/750 = 100
A piece of fabric is rectangular, the length of the fabric is 150 meters and the total area is 75000 square meters. Find the width?
500 meters.
To find the width of the fabric, we use the formula,
Area = length × width
75000 = 150 × width
To find the value of width, we need to shift 150 to the left side.
75000/150 = width
Width = 500.
There are 3750 candies and 750 bags. How many candies will be in each bag?
Each bag will have 5 candies.
To find the candies in each bag, divide the total candies by the number of bags.
3750/750 = 5
In a theater, there are 15000 seats, and 5 sections. How many seats are there in each section?
There are 3000 seats in each section.
Dividing the seats by the total sections, we will get the number of seats in each section.
15000/5 = 3000
75000 books need to be arranged in 2500 shelves. How many books will go on each shelf?
Each of the shelves has 30 books.
Divide total books by shelves.
75000/2500 = 30
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.