101 LearnersLast updated on May 26th, 2025
Factors of 8500
Factors are the numbers that divide any given number evenly without a 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 8500, how they are used in real life, and tips to learn them quickly.
What are the Factors of 8500?
The numbers that divide 8500 evenly are known as factors of 8500.
A factor of 8500 is a number that divides the number without a remainder.
The factors of 8500 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 200, 340, 425, 500, 850, 1700, 2125, 4250, and 8500.
Negative factors of 8500: -1, -2, -4, -5, -10, -17, -20, -25, -34, -50, -68, -85, -100, -170, -200, -340, -425, -500, -850, -1700, -2125, -4250, and -8500.
Prime factors of 8500: 2, 5, and 17.
Prime factorization of 8500: 2² × 5³ × 17.
The sum of factors of 8500: 1 + 2 + 4 + 5 + 10 + 17 + 20 + 25 + 34 + 50 + 68 + 85 + 100 + 170 + 200 + 340 + 425 + 500 + 850 + 1700 + 2125 + 4250 + 8500 = 18612
How to Find Factors of 8500?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 8500. Identifying the numbers which are multiplied to get the number 8500 is the multiplication method.
Step 1: Multiply 8500 by 1, 8500 × 1 = 8500.
Step 2: Check for other numbers that give 8500 after multiplying
2 × 4250 = 8500
4 × 2125 = 8500
5 × 1700 = 8500
10 × 850 = 8500
17 × 500 = 8500
20 × 425 = 8500
25 × 340 = 8500
34 × 250 = 8500
50 × 170 = 8500
68 × 125 = 8500
85 × 100 = 8500
Therefore, the positive factor pairs of 8500 are: (1, 8500), (2, 4250), (4, 2125), (5, 1700), (10, 850), (17, 500), (20, 425), (25, 340), (34, 250), (50, 170), (68, 125), (85, 100).
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 8500 by 1, 8500 ÷ 1 = 8500.
Step 2: Continue dividing 8500 by the numbers until the remainder becomes 0.
8500 ÷ 1 = 8500
8500 ÷ 2 = 4250
8500 ÷ 4 = 2125
8500 ÷ 5 = 1700
8500 ÷ 10 = 850
8500 ÷ 17 = 500
8500 ÷ 20 = 425
8500 ÷ 25 = 340
8500 ÷ 34 = 250
8500 ÷ 50 = 170
8500 ÷ 68 = 125
8500 ÷ 85 = 100
Therefore, the factors of 8500 are: 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 200, 340, 425, 500, 850, 1700, 2125, 4250, 8500.
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 8500 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
8500 ÷ 2 = 4250
4250 ÷ 2 = 2125
2125 ÷ 5 = 425
425 ÷ 5 = 85
85 ÷ 5 = 17
17 ÷ 17 = 1
The prime factors of 8500 are 2, 5, and 17.
The prime factorization of 8500 is: 2² × 5³ × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 8500 is divided by 2 to get 4250.
Step 2: Now divide 4250 by 2 to get 2125.
Step 3: Then divide 2125 by 5 to get 425.
Step 4: Divide 425 by 5 to get 85.
Step 5: Divide 85 by 5 to get 17. Here, 17 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 8500 is: 2² × 5³ × 17.
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 8500: (1, 8500), (2, 4250), (4, 2125), (5, 1700), (10, 850), (17, 500), (20, 425), (25, 340), (34, 250), (50, 170), (68, 125), (85, 100).
Negative factor pairs of 8500: (-1, -8500), (-2, -4250), (-4, -2125), (-5, -1700), (-10, -850), (-17, -500), (-20, -425), (-25, -340), (-34, -250), (-50, -170), (-68, -125), (-85, -100).
Common Mistakes and How to Avoid Them in Factors of 8500
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 8500, 1 and 8500 is also a factor.
Factors of 8500 Examples
Problem 1
There are 4250 candies and 8500 children. How will they distribute them equally?
They will get 0.5 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of children.
4250/8500 = 0.5
Problem 2
A piece of cloth is measured to be 8500 centimeters long and needs to be cut into pieces each 425 centimeters long. How many pieces will you have?
20 pieces.
Explanation
To find the number of pieces, divide the total length by the length of each piece.
8500/425 = 20
Problem 3
A factory has 8500 units of a product, and each box can hold 85 units. How many boxes are needed?
100 boxes.
Explanation
To find the number of boxes needed, divide the total units by the capacity of each box.
8500/85 = 100
Problem 4
A book contains 8500 pages, and each section has 2125 pages. How many sections are there?
There are 4 sections.
Explanation
Divide the total pages by the number of pages per section to get the number of sections.
8500/2125 = 4
Problem 5
8500 apples need to be distributed equally among 170 baskets. How many apples will go in each basket?
Each basket will have 50 apples.
Explanation
Divide the total apples by the number of baskets.
8500/170 = 50
FAQs on Factors of 8500
1.What are the factors of 8500?
2.Mention the prime factors of 8500.
3.Is 8500 a multiple of 17?
4.Mention the factor pairs of 8500?
5.What is the square of 8500?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 8500?
7.What are some fun ways kids in Indonesia can practice Factors of 8500 with numbers?
8.What role do numbers and Factors of 8500 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 8500 skills?
Important Glossaries for Factors of 8500
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 8500 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 200, 340, 425, 500, 850, 1700, 2125, 4250, and 8500.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 17 are prime factors of 8500.
- 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 8500 are (1, 8500), (2, 4250), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 8500 is 2² × 5³ × 17.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
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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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