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Last updated on May 26th, 2025

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Factors of 32000

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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.

Factors of 32000 for Canadian Students
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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

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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
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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.

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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.

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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.

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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).

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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

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Forgetting the number itself and 1 is a factor

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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.

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Factors of 32000 Examples

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Problem 1

There are 16 teams and 32000 tickets. How will they divide it equally?

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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

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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?

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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.

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Problem 3

There are 64 containers and 32000 tons of cargo. How many tons of cargo will be in each container?

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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

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Problem 4

In a workshop, there are 32000 pieces of wood, and 40 crates. How many pieces are there in each crate?

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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

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Problem 5

32000 gallons of water need to be stored in 80 tanks. How many gallons will go in each tank?

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Each of the tanks will have 400 gallons.

Explanation

Divide total gallons by tanks. 32000/80 = 400

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FAQs on Factors of 32000

1.What are the factors of 32000?

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2.Mention the prime factors of 32000.

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3.Is 32000 a multiple of 4?

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4.Mention the factor pairs of 32000?

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5.What is the square of 32000?

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6.How can children in Canada use numbers in everyday life to understand Factors of 32000?

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7.What are some fun ways kids in Canada can practice Factors of 32000 with numbers?

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8.What role do numbers and Factors of 32000 play in helping children in Canada develop problem-solving skills?

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9.How can families in Canada create number-rich environments to improve Factors of 32000 skills?

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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

At BrightChamps, numbers are more than just symbols—they’re keys to many possibilities! We aim to help kids across Canada develop important math skills, with today’s focus on Factors of 32000, highlighting factors in a lively, fun, and accessible way. Whether your child is calculating the speed of a ride at Canada’s Wonderland, keeping track of hockey scores, or budgeting their allowance to buy gadgets, mastering numbers boosts their everyday confidence. Our engaging lessons make learning both fun and easy. Since kids in Canada learn differently, we adapt our teaching to each child’s style. From Toronto’s bustling streets to British Columbia’s scenic views, BrightChamps brings math to life across Canada. Let’s make factors a fun part of every child’s learning experience!
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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.

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Fun Fact

: She loves to read number jokes and games.

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