120 LearnersLast updated on May 26th, 2025
Factors of 32000
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 32000, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 32000?
The numbers that divide 32000 evenly are known as factors of 32000.
A factor of 32000 is a number that divides the number without remainder.
The factors of 32000 include 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1250, 1600, 2000, 2500, 3200, 4000, 5000, 6400, 8000, 16000, and 32000.
Negative factors of 32000: -1, -2, -4, -5, -8, -10, -16, -20, -25, -32, -40, -50, -64, -80, -100, -125, -160, -200, -250, -320, -400, -500, -640, -800, -1000, -1250, -1600, -2000, -2500, -3200, -4000, -5000, -6400, -8000, -16000, and -32000.
Prime factors of 32000: 2 and 5.
Prime factorization of 32000: 27 × 53.
The sum of factors of 32000: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 32 + 40 + 50 + 64 + 80 + 100 + 125 + 160 + 200 + 250 + 320 + 400 + 500 + 640 + 800 + 1000 + 1250 + 1600 + 2000 + 2500 + 3200 + 4000 + 5000 + 6400 + 8000 + 16000 + 32000 = 93184
How to Find Factors of 32000?
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 32000. Identifying the numbers which are multiplied to get the number 32000 is the multiplication method.
Step 1: Multiply 32000 by 1, 32000 × 1 = 32000.
Step 2: Check for other numbers that give 32000 after multiplying
2 × 16000 = 32000
4 × 8000 = 32000
5 × 6400 = 32000
8 × 4000 = 32000
10 × 3200 = 32000
16 × 2000 = 32000
20 × 1600 = 32000
25 × 1280 = 32000
32 × 1000 = 32000
40 × 800 = 32000
50 × 640 = 32000
64 × 500 = 32000
80 × 400 = 32000
100 × 320 = 32000
125 × 256 = 32000
160 × 200 = 32000
Therefore, the positive factor pairs of 32000 are: (1, 32000), (2, 16000), (4, 8000), (5, 6400), (8, 4000), (10, 3200), (16, 2000), (20, 1600), (25, 1280), (32, 1000), (40, 800), (50, 640), (64, 500), (80, 400), (100, 320), (125, 256), and (160, 200). 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 a whole number as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 32000 by 1, 32000 ÷ 1 = 32000.
Step 2: Continue dividing 32000 by the numbers until the remainder becomes 0.
32000 ÷ 1 = 32000
32000 ÷ 2 = 16000
32000 ÷ 4 = 8000
32000 ÷ 5 = 6400
32000 ÷ 8 = 4000
32000 ÷ 10 = 3200
32000 ÷ 16 = 2000
32000 ÷ 20 = 1600
32000 ÷ 25 = 1280
32000 ÷ 32 = 1000
32000 ÷ 40 = 800
32000 ÷ 50 = 640
32000 ÷ 64 = 500
32000 ÷ 80 = 400
32000 ÷ 100 = 320
32000 ÷ 125 = 256
32000 ÷ 160 = 200
Therefore, the factors of 32000 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1250, 1600, 2000, 2500, 3200, 4000, 5000, 6400, 8000, 16000, and 32000.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 32000 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
32000 ÷ 2 = 16000
16000 ÷ 2 = 8000
8000 ÷ 2 = 4000
4000 ÷ 2 = 2000
2000 ÷ 2 = 1000
1000 ÷ 2 = 500
500 ÷ 2 = 250
250 ÷ 2 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 32000 are 2 and 5.
The prime factorization of 32000 is: 27 × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 32000 is divided by 2 to get 16000.
Step 2: Now divide 16000 by 2 to get 8000.
Step 3: Then divide 8000 by 2 to get 4000.
Step 4: Divide 4000 by 2 to get 2000.
Step 5: Divide 2000 by 2 to get 1000.
Step 6: Divide 1000 by 2 to get 500.
Step 7: Divide 500 by 2 to get 250.
Step 8: Divide 250 by 2 to get 125.
Step 9: Divide 125 by 5 to get 25.
Step 10: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 32000 is: 27 × 53.
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 32000: (1, 32000), (2, 16000), (4, 8000), (5, 6400), (8, 4000), (10, 3200), (16, 2000), (20, 1600), (25, 1280), (32, 1000), (40, 800), (50, 640), (64, 500), (80, 400), (100, 320), (125, 256), and (160, 200).
Negative factor pairs of 32000: (-1, -32000), (-2, -16000), (-4, -8000), (-5, -6400), (-8, -4000), (-10, -3200), (-16, -2000), (-20, -1600), (-25, -1280), (-32, -1000), (-40, -800), (-50, -640), (-64, -500), (-80, -400), (-100, -320), (-125, -256), and (-160, -200).
Common Mistakes and How to Avoid Them in Factors of 32000
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 number. Always remember to include 1 and the number itself.
For example, in factors of 32000, 1 and 32000 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors. For example, the factors of 32000 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add a fraction also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 32000/1.5 = 21333.333, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 32000 are prime numbers. For example, 2 and 5 are the prime factors of 32000, but it has other factors like 4, 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 32000 as 2^7 × 5^3 and missing all the key factors.
Factors of 32000 Examples
Problem 1
There are 16 teams and 32000 tickets. How will they divide it equally?
They will get 2000 tickets each.
Explanation
To divide the tickets equally, we need to divide the total tickets by the number of teams. 32000/16 = 2000
Problem 2
A warehouse is rectangular, the length of the warehouse is 160 meters and the total area is 32000 square meters. Find the width?
200 meters.
Explanation
To find the width of the warehouse, we use the formula, Area = length × width 32000 = 160 × width To find the value of width, we need to shift 160 to the left side. 32000/160 = width Width = 200.
Problem 3
There are 64 containers and 32000 tons of cargo. How many tons of cargo will be in each container?
Each container will have 500 tons of cargo.
Explanation
To find the cargo in each container, divide the total cargo by the number of containers. 32000/64 = 500
Problem 4
In a workshop, there are 32000 pieces of wood, and 40 crates. How many pieces are there in each crate?
There are 800 pieces in each crate.
Explanation
Dividing the pieces of wood by the total crates, we will get the number of pieces in each crate. 32000/40 = 800
Problem 5
32000 gallons of water need to be stored in 80 tanks. How many gallons will go in each tank?
Each of the tanks will have 400 gallons.
Explanation
Divide total gallons by tanks. 32000/80 = 400
FAQs on Factors of 32000
1.What are the factors of 32000?
2.Mention the prime factors of 32000.
3.Is 32000 a multiple of 4?
4.Mention the factor pairs of 32000?
5.What is the square of 32000?
6.How can children in Canada use numbers in everyday life to understand Factors of 32000?
7.What are some fun ways kids in Canada can practice Factors of 32000 with numbers?
8.What role do numbers and Factors of 32000 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 32000 skills?
Important Glossaries for Factors of 32000
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 32000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, and so on.
- Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 32000.
- 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 32000 are (1, 32000), (2, 16000), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 32000 is 27 × 53.
- Multiples: Numbers that can be divided by another number without a remainder. For example, 32000 is a multiple of 4.
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About BrightChamps in Canada
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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