Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 11 friends and 1508 marbles. How will they divide them equally?
They will get 137 marbles each.
To divide the marbles equally, we need to divide the total marbles by the number of friends.
1508/11 = 137
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.
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.
There are 4 boxes and 1508 candies. How many candies will be in each box?
Each box will have 377 candies.
To find the candies in each box, divide the total candies by the boxes.
1508/4 = 377
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.
Dividing the students by the total groups, we will get the number of students in each group.
1508/2 = 754
1508 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each shelf will have 137 books.
Divide total books by shelves.
1508/11 = 137
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.
: She loves to read number jokes and games.