128 LearnersLast updated on May 26th, 2025
Factors of 2610
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 2610, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 2610?
The numbers that divide 2610 evenly are known as factors of 2610.
A factor of 2610 is a number that divides the number without remainder.
The factors of 2610 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 51, 85, 102, 170, 255, 510, 870, 1305, and 2610.
Negative factors of 2610: -1, -2, -3, -5, -6, -10, -15, -17, -30, -51, -85, -102, -170, -255, -510, -870, -1305, and -2610.
Prime factors of 2610: 2, 3, 5, and 17.
Prime factorization of 2610: 2 × 3 × 5 × 17.
The sum of factors of 2610: 1 + 2 + 3 + 5 + 6 + 10 + 15 + 17 + 30 + 51 + 85 + 102 + 170 + 255 + 510 + 870 + 1305 + 2610 = 5227
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How to Find Factors of 2610?
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 2610. Identifying the numbers which are multiplied to get the number 2610 is the multiplication method.
Step 1: Multiply 2610 by 1, 2610 × 1 = 2610.
Step 2: Check for other numbers that give 2610 after multiplying
2 × 1305 = 2610
3 × 870 = 2610
5 × 522 = 2610
6 × 435 = 2610
10 × 261 = 2610
15 × 174 = 2610
17 × 153 = 2610
30 × 87 = 2610
51 × 51 = 2610
Therefore, the positive factor pairs of 2610 are: (1, 2610), (2, 1305), (3, 870), (5, 522), (6, 435), (10, 261), (15, 174), (17, 153), and (30, 87).
All these factor pairs result in 2610.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 the simple division method -
Step 1: Divide 2610 by 1, 2610 ÷ 1 = 2610.
Step 2: Continue dividing 2610 by the numbers until the remainder becomes 0.
2610 ÷ 1 = 2610
2610 ÷ 2 = 1305
2610 ÷ 3 = 870
2610 ÷ 5 = 522
2610 ÷ 6 = 435
2610 ÷ 10 = 261
2610 ÷ 15 = 174
2610 ÷ 17 = 153
2610 ÷ 30 = 87
Therefore, the factors of 2610 are: 1, 2, 3, 5, 6, 10, 15, 17, 30, 51, 85, 102, 170, 255, 510, 870, 1305, and 2610.
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 2610 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2610 ÷ 2 = 1305
1305 ÷ 3 = 435
435 ÷ 3 = 145
145 ÷ 5 = 29
29 ÷ 29 = 1
The prime factors of 2610 are 2, 3, 5, and 17.
The prime factorization of 2610 is: 2 × 3 × 5 × 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, 2610 is divided by 2 to get 1305.
Step 2: Now divide 1305 by 3 to get 435.
Step 3: Then divide 435 by 3 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 2610 is: 2 × 3 × 5 × 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 2610: (1, 2610), (2, 1305), (3, 870), (5, 522), (6, 435), (10, 261), (15, 174), (17, 153), and (30, 87).
Negative factor pairs of 2610: (-1, -2610), (-2, -1305), (-3, -870), (-5, -522), (-6, -435), (-10, -261), (-15, -174), (-17, -153), and (-30, -87).
Common Mistakes and How to Avoid Them in Factors of 2610
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 2610, 1 and 2610 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 2610 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 2610/1.5 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 2610 are prime numbers.
For example, 2, 3, 5, and 17 are the prime factors of 2610, but it has other factors like 6, 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 2610 as 2 × 3 × 5 × 17 and missing all the key factors.
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Factors of 2610 Examples
Problem 1
There are 2610 apples in a warehouse and 30 crates. How many apples will go into each crate?
Each crate will have 87 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of crates.
2610/30 = 87
Problem 2
A garden is rectangular, the length of the garden is 17 meters and the total area is 2610 square meters. Find the width.
153 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2610 = 17 × width
To find the value of width, we need to shift 17 to the left side.
2610/17 = width
Width = 153.
Problem 3
There are 435 boxes and 2610 marbles. How many marbles will be in each box?
Each box will have 6 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the number of boxes.
2610/435 = 6
Problem 4
In a class, there are 2610 students, and 15 groups. How many students are there in each group?
There are 174 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
2610/15 = 174
Problem 5
2610 books need to be arranged in 85 shelves. How many books will go on each shelf?
Each of the shelves has 30 books.
Explanation
Divide the total books by the number of shelves.
2610/85 = 30
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FAQs on Factors of 2610
1.What are the factors of 2610?
2.Mention the prime factors of 2610.
3.Is 2610 a multiple of 5?
4.Mention the factor pairs of 2610?
5.What is the square of 2610?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 2610?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 2610 with numbers?
8.What role do numbers and Factors of 2610 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 2610 skills?
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Important Glossaries for Factor of 2610
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2610 are 1, 2, 3, 5, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 17 are prime factors of 2610.
- 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 2610 are (1, 2610), (2, 1305), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 2610 is 2 × 3 × 5 × 17.
- Multiples: Numbers that can be divided by another number without leaving a remainder. For example, 2610 is a multiple of 5.
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About BrightChamps in Saudi Arabia
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.
