120 LearnersLast updated on May 26th, 2025
Factors of 2900
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 2900, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2900?
The numbers that divide 2900 evenly are known as factors of 2900.
A factor of 2900 is a number that divides the number without remainder.
The factors of 2900 are 1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 200, 290, 580, 725, 1450, and 2900.
Negative factors of 2900: -1, -2, -4, -5, -10, -20, -25, -29, -50, -58, -100, -116, -145, -200, -290, -580, -725, -1450, and -2900.
Prime factors of 2900: 2, 5, and 29.
Prime factorization of 2900: 2² × 5² × 29.
The sum of factors of 2900: 1 + 2 + 4 + 5 + 10 + 20 + 25 + 29 + 50 + 58 + 100 + 116 + 145 + 200 + 290 + 580 + 725 + 1450 + 2900 = 7720
How to Find Factors of 2900?
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 2900. Identifying the numbers which are multiplied to get the number 2900 is the multiplication method.
Step 1: Multiply 2900 by 1, 2900 × 1 = 2900.
Step 2: Check for other numbers that give 2900 after multiplying
2 × 1450 = 2900
4 × 725 = 2900
5 × 580 = 2900
10 × 290 = 2900
20 × 145 = 2900
25 × 116 = 2900
29 × 100 = 2900
50 × 58 = 2900
Therefore, the positive factor pairs of 2900 are: (1, 2900), (2, 1450), (4, 725), (5, 580), (10, 290), (20, 145), (25, 116), (29, 100), and (50, 58). 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 2900 by 1, 2900 ÷ 1 = 2900.
Step 2: Continue dividing 2900 by the numbers until the remainder becomes 0.
2900 ÷ 1 = 2900
2900 ÷ 2 = 1450
2900 ÷ 4 = 725
2900 ÷ 5 = 580
2900 ÷ 10 = 290
2900 ÷ 20 = 145
2900 ÷ 25 = 116
2900 ÷ 29 = 100
2900 ÷ 50 = 58
Therefore, the factors of 2900 are: 1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 200, 290, 580, 725, 1450, and 2900.
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 2900 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
2900 ÷ 2 = 1450
1450 ÷ 2 = 725
725 ÷ 5 = 145
145 ÷ 5 = 29
29 ÷ 29 = 1
The prime factors of 2900 are 2, 5, and 29.
The prime factorization of 2900 is: 2² × 5² × 29.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2900 is divided by 2 to get 1450.
Step 2: Now divide 1450 by 2 to get 725.
Step 3: Then divide 725 by 5 to get 145.
Step 4: Divide 145 by 5 to get 29. Here, 29 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 2900 is: 2² × 5² × 29.
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 2900: (1, 2900), (2, 1450), (4, 725), (5, 580), (10, 290), (20, 145), (25, 116), (29, 100), and (50, 58).
Negative factor pairs of 2900: (-1, -2900), (-2, -1450), (-4, -725), (-5, -580), (-10, -290), (-20, -145), (-25, -116), (-29, -100), and (-50, -58).
Common Mistakes and How to Avoid Them in Factors of 2900
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 2900, 1 and 2900 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 2900 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 2900/1.5 = 1933.333, 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 2900 are prime numbers.
For example, 2, 5, and 29 are the prime factors of 2900, but it has other factors like 4, 10, 58, etc.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 2900 as 2² × 5² × 29 and missing all the key factors.
Factors of 2900 Examples
Problem 1
There are 29 students and 2900 pencils. How will they distribute them equally?
They will get 100 pencils each.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of students.
2900/29 = 100
Problem 2
A rectangular swimming pool has a length of 58 meters and a total area of 2900 square meters. Find the width.
50 meters.
Explanation
To find the width of the pool, we use the formula,
Area = length × width
2900 = 58 × width
To find the value of width, we need to divide 2900 by 58.
2900/58 = width
Width = 50.
Problem 3
There are 25 boxes and 2900 chocolates. How many chocolates will be in each box?
Each box will have 116 chocolates.
Explanation
To find the chocolates in each box, divide the total chocolates by the number of boxes.
2900/25 = 116
Problem 4
A bakery produces 2900 cupcakes, distributed into 580 packages. How many cupcakes are in each package?
Each package contains 5 cupcakes.
Explanation
Dividing the cupcakes by the total packages, we will get the number of cupcakes in each package.
2900/580 = 5
Problem 5
2900 books need to be arranged in 100 shelves. How many books will go on each shelf?
Each of the shelves has 29 books.
Explanation
Divide total books by shelves.
2900/100 = 29
FAQs on Factors of 2900
1.What are the factors of 2900?
2.Mention the prime factors of 2900.
3.Is 2900 a multiple of 29?
4.Mention the factor pairs of 2900.
5.What is the square of 2900?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 2900?
7.What are some fun ways kids in Bahrain can practice Factors of 2900 with numbers?
8.What role do numbers and Factors of 2900 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 2900 skills?
Important Glossaries for Factors of 2900
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2900 are 1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 200, 290, 580, 725, 1450, and 2900.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 29 are prime factors of 2900.
- 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 2900 are (1, 2900), (2, 1450), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 2900 is 2² × 5² × 29.
- Multiple: A number that can be divided by a certain factor without a remainder. For example, 2900 is a multiple of 29.
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About BrightChamps in Bahrain
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
: She loves to read number jokes and games.
