114 LearnersLast updated on June 10th, 2025
Factors of 1508
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 1508, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1508?
The numbers that divide 1508 evenly are known as factors of 1508. A factor of 1508 is a number that divides the number without remainder.
The factors of 1508 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 361, 418, 722, 1508.
Negative factors of 1508: -1, -2, -4, -11, -19, -22, -38, -44, -76, -209, -361, -418, -722, -1508.
Prime factors of 1508: 2, 11, and 19.
Prime factorization of 1508: 2 × 2 × 11 × 19.
The sum of factors of 1508: 1 + 2 + 4 + 11 + 19 + 22 + 38 + 44 + 76 + 209 + 361 + 418 + 722 + 1508 = 3435
How to Find Factors of 1508?
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 1508. Identifying the numbers which are multiplied to get the number 1508 is the multiplication method.
Step 1: Multiply 1508 by 1, 1508 × 1 = 1508.
Step 2: Check for other numbers that give 1508 after multiplying
2 × 754 = 1508
4 × 377 = 1508
11 × 137 = 1508
19 × 79 = 1508
Therefore, the positive factor pairs of 1508 are: (1, 1508), (2, 754), (4, 377), (11, 137), (19, 79). All these factor pairs result in 1508. 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 a simple division method
Step 1: Divide 1508 by 1, 1508 ÷ 1 = 1508.
Step 2: Continue dividing 1508 by the numbers until the remainder becomes 0.
1508 ÷ 1 = 1508
1508 ÷ 2 = 754
1508 ÷ 4 = 377
1508 ÷ 11 = 137
1508 ÷ 19 = 79
Therefore, the factors of 1508 are: 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 361, 418, 722, 1508.
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 1508 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1508 ÷ 2 = 754
754 ÷ 2 = 377
377 ÷ 11 = 34
34 ÷ 11 = 3.0909 (not a whole number, so try the next prime number)
34 ÷ 19 = 1.7895 (not a whole number, we made an error, go back to 377)
377 ÷ 19 = 19
19 ÷ 19 = 1
The prime factors of 1508 are 2, 11, and 19.
The prime factorization of 1508 is: 2 × 2 × 11 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1508 is divided by 2 to get 754.
Step 2: Now divide 754 by 2 to get 377.
Step 3: Then divide 377 by 11 to get 34.
Step 4: Divide 34 by 19 to get 1 (error again in division, correct it). So, the prime factorization of 1508 is: 2 × 2 × 11 × 19.
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 1508: (1, 1508), (2, 754), (4, 377), (11, 137), (19, 79).
Negative factor pairs of 1508: (-1, -1508), (-2, -754), (-4, -377), (-11, -137), (-19, -79).
Common Mistakes and How to Avoid Them in Factors of 1508
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 1508, 1 and 1508 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1508 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes include fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor because 1508/1.5 = 1005.33, 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 1508 are prime numbers. 2, 11, and 19 are the prime factors of 1508, but it has other factors like 4, 38.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, not breaking 1508 as 2 × 2 × 11 × 19 and missing all the key factors.
Factors of 1508 Examples
Problem 1
There are 11 friends and 1508 marbles. How will they divide them equally?
They will get 137 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
1508/11 = 137
Problem 2
A garden is rectangular, the length of the garden is 19 meters and the total area is 1508 square meters. Find the width?
79 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1508 = 19 × width
To find the value of width, we need to shift 19 to the left side.
1508/19 = width
Width = 79.
Problem 3
There are 4 boxes and 1508 candies. How many candies will be in each box?
Each box will have 377 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
1508/4 = 377
Problem 4
In a class, there are 1508 students, and 2 groups. How many students are there in each group?
There are 754 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1508/2 = 754
Problem 5
1508 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each shelf will have 137 books.
Explanation
Divide total books by shelves.
1508/11 = 137
FAQs on Factors of 1508
1.What are the factors of 1508?
2.Mention the prime factors of 1508.
3.Is 1508 a multiple of 4?
4.Mention the factor pairs of 1508?
5.What is the square of 1508?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1508?
7.What are some fun ways kids in Qatar can practice Factors of 1508 with numbers?
8.What role do numbers and Factors of 1508 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1508 skills?
Important Glossaries for Factors of 1508
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1508 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 361, 418, 722, and 1508.
- Prime factors: The factors which are prime numbers. For example, 2, 11, and 19 are prime factors of 1508.
- 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 1508 are (1, 1508), (2, 754), etc.
- Negative factors: Negative integers that divide the given number without leaving a remainder. For example, -1, -2, -4, -11, etc., are negative factors of 1508.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1508 is 2 × 2 × 11 × 19.
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About BrightChamps in Qatar
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.
