100 LearnersLast updated on May 26th, 2025
Factors of 60000
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 60000, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 60000?
The numbers that divide 60000 evenly are known as factors of 60000.
A factor of 60000 is a number that divides the number without remainder.
The factors of 60000 are numerous due to its large size, and 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, 1200, 1500, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, and 60000.
Negative factors of 60000 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, -1200, -1500, -2000, -2400, -2500, -3000, -3750, -4000, -5000, -6000, -7500, -10000, -12000, -15000, -20000, -30000, and -60000.
Prime factors of 60000: 2, 3, and 5.
Prime factorization of 60000: 25 × 3 × 54.
The sum of factors of 60000 is quite large due to the numerous factors.
How to Find Factors of 60000?
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 60000. Identifying the numbers which are multiplied to get the number 60000 is the multiplication method.
Step 1: Multiply 60000 by 1, 60000 × 1 = 60000.
Step 2: Check for other numbers that give 60000 after multiplying
2 × 30000 = 60000
3 × 20000 = 60000
4 × 15000 = 60000
5 × 12000 = 60000
6 × 10000 = 60000
8 × 7500 = 60000
10 × 6000 = 60000
12 × 5000 = 60000
15 × 4000 = 60000
16 × 3750 = 60000
20 × 3000 = 60000
24 × 2500 = 60000
25 × 2400 = 60000
30 × 2000 = 60000
40 × 1500 = 60000
48 × 1250 = 60000
50 × 1200 = 60000
60 × 1000 = 60000
75 × 800 = 60000
80 × 750 = 60000
100 × 600 = 60000
120 × 500 = 60000
125 × 480 = 60000
150 × 400 = 60000
200 × 300 = 60000
240 × 250 = 60000
Therefore, the positive factor pairs of 60000 include: (1, 60000), (2, 30000), (3, 20000), (4, 15000), (5, 12000), (6, 10000), etc. 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 60000 by 1, 60000 ÷ 1 = 60000.
Step 2: Continue dividing 60000 by the numbers until the remainder becomes 0.
60000 ÷ 1 = 60000
60000 ÷ 2 = 30000
60000 ÷ 3 = 20000
60000 ÷ 4 = 15000
60000 ÷ 5 = 12000
60000 ÷ 6 = 10000
60000 ÷ 8 = 7500
60000 ÷ 10 = 6000
60000 ÷ 12 = 5000
60000 ÷ 15 = 4000
60000 ÷ 16 = 3750
60000 ÷ 20 = 3000
60000 ÷ 24 = 2500
60000 ÷ 25 = 2400
60000 ÷ 30 = 2000
60000 ÷ 40 = 1500
60000 ÷ 48 = 1250
60000 ÷ 50 = 1200
60000 ÷ 60 = 1000
60000 ÷ 75 = 800
60000 ÷ 80 = 750
60000 ÷ 100 = 600
60000 ÷ 120 = 500
60000 ÷ 125 = 480
60000 ÷ 150 = 400
60000 ÷ 200 = 300
60000 ÷ 240 = 250
Therefore, the factors of 60000 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, 1200, 1500, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, and 60000.
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 60000 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
60000 ÷ 2 = 30000
30000 ÷ 2 = 15000
15000 ÷ 2 = 7500
7500 ÷ 2 = 3750
3750 ÷ 2 = 1875
1875 ÷ 3 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 60000 are 2, 3, and 5.
The prime factorization of 60000 is: 25 × 3 × 54.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 60000 is divided by 2 to get 30000.
Step 2: Now divide 30000 by 2 to get 15000.
Step 3: Then divide 15000 by 2 to get 7500.
Step 4: Divide 7500 by 2 to get 3750.
Step 5: Divide 3750 by 2 to get 1875.
Step 6: Divide 1875 by 3 to get 625.
Step 7: Divide 625 by 5 to get 125.
Step 8: Divide 125 by 5 to get 25.
Step 9: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 60000 is: 25 × 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 60000: (1, 60000), (2, 30000), (3, 20000), (4, 15000), (5, 12000), (6, 10000), (8, 7500), (10, 6000), (12, 5000), (15, 4000), (16, 3750), (20, 3000), (24, 2500), (25, 2400), (30, 2000), (40, 1500), (48, 1250), (50, 1200), (60, 1000), (75, 800), (80, 750), (100, 600), (120, 500), (125, 480), (150, 400), (200, 300), and (240, 250).
Negative factor pairs of 60000: (-1, -60000), (-2, -30000), (-3, -20000), (-4, -15000), (-5, -12000), (-6, -10000), (-8, -7500), (-10, -6000), (-12, -5000), (-15, -4000), (-16, -3750), (-20, -3000), (-24, -2500), (-25, -2400), (-30, -2000), (-40, -1500), (-48, -1250), (-50, -1200), (-60, -1000), (-75, -800), (-80, -750), (-100, -600), (-120, -500), (-125, -480), (-150, -400), (-200, -300), and (-240, -250).
Common Mistakes and How to Avoid Them in Factors of 60000
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 the factors for every word. Always remember to include 1 and the number itself.
For example, in factors of 60000, 1 and 60000 are also factors.
Factors of 60000 Examples
Problem 1
A charity event has 60000 seats to allocate. If there are 3000 guests, how will they arrange the guests equally in rows?
They will arrange 20 guests per row.
Explanation
To arrange the guests equally, divide the total seats by the number of guests.
60000/3000 = 20
Problem 2
A rectangular garden has a length of 150 meters and a total area of 60000 square meters. What is the width?
400 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
60000 = 150 × width
To find the value of width, we need to shift 150 to the left side.
60000/150 = width
Width = 400.
Problem 3
A warehouse has 60000 boxes to distribute. If each truck can carry 5000 boxes, how many trucks are needed?
12 trucks are needed.
Explanation
To find the number of trucks needed, divide the total boxes by the capacity per truck.
60000/5000 = 12
Problem 4
A school has 60000 sheets of paper and needs to distribute them across 25 classrooms. How many sheets will each classroom receive?
Each classroom will receive 2400 sheets.
Explanation
Dividing the total sheets by the number of classrooms, we will get the number of sheets in each classroom.
60000/25 = 2400
Problem 5
60000 liters of water need to be stored in 50 tanks. How much water will each tank hold?
Each tank will hold 1200 liters.
Explanation
Divide the total liters of water by the number of tanks.
60000/50 = 1200
FAQs on Factors of 60000
1.What are the factors of 60000?
2.Mention the prime factors of 60000.
3.Is 60000 a multiple of 4?
4.Mention the factor pairs of 60000?
5.What is the square of 60000?
6.How can children in Singapore use numbers in everyday life to understand Factors of 60000?
7.What are some fun ways kids in Singapore can practice Factors of 60000 with numbers?
8.What role do numbers and Factors of 60000 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 60000 skills?
Important Glossaries for Factors of 60000
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 60000 include 1, 2, 3, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 60000.
- 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 60000 are (1, 60000), (2, 30000), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 60000 is 25 × 3 × 54.
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to the original number. For example, finding factor pairs like (1, 60000), (2, 30000), etc.
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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.
Fun Fact
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