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 1506, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1506 evenly are known as factors of 1506.
A factor of 1506 is a number that divides the number without remainder.
The factors of 1506 are 1, 2, 3, 6, 251, 502, 753, and 1506.
Negative factors of 1506: -1, -2, -3, -6, -251, -502, -753, and -1506.
Prime factors of 1506: 2, 3, and 251.
Prime factorization of 1506: 2 × 3 × 251.
The sum of factors of 1506: 1 + 2 + 3 + 6 + 251 + 502 + 753 + 1506 = 3024
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 1506. Identifying the numbers which are multiplied to get the number 1506 is the multiplication method.
Step 1: Multiply 1506 by 1, 1506 × 1 = 1506.
Step 2: Check for other numbers that give 1506 after multiplying
2 × 753 = 1506
3 × 502 = 1506
6 × 251 = 1506
Therefore, the positive factor pairs of 1506 are: (1, 1506), (2, 753), (3, 502), (6, 251).
All these factor pairs result in 1506.
For every positive factor, there is a negative factor.
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 1506 by 1, 1506 ÷ 1 = 1506.
Step 2: Continue dividing 1506 by the numbers until the remainder becomes 0.
1506 ÷ 1 = 1506
1506 ÷ 2 = 753
1506 ÷ 3 = 502
1506 ÷ 6 = 251
Therefore, the factors of 1506 are: 1, 2, 3, 6, 251, 502, 753, 1506.
The factors can be found by dividing it with a prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1506 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1506 ÷ 2 = 753
753 ÷ 3 = 251
251 ÷ 251 = 1
The prime factors of 1506 are 2, 3, and 251.
The prime factorization of 1506 is: 2 × 3 × 251.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 1506 is divided by 2 to get 753.
Step 2: Now divide 753 by 3 to get 251.
Step 3: Then divide 251 by 251 to get 1. Here, 251 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1506 is: 2 × 3 × 251.
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 1506: (1, 1506), (2, 753), (3, 502), (6, 251).
Negative factor pairs of 1506: (-1, -1506), (-2, -753), (-3, -502), (-6, -251).
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 6 teams and 1506 participants. How will they divide equally among the teams?
Each team will have 251 participants.
To divide the participants equally, we need to divide the total participants by the number of teams.
1506/6 = 251
A rectangular garden has a length of 502 meters and a total area of 1506 square meters. Find the width.
3 meters.
To find the width of the garden, we use the formula, Area = length × width
1506 = 502 × width
To find the value of width, we need to divide 1506 by 502.
1506/502 = width
Width = 3.
There are 3 delivery trucks and 1506 packages. How many packages will each truck carry?
Each truck will carry 502 packages.
To find the packages each truck will carry, divide the total packages by the number of trucks.
1506/3 = 502
In a concert, there are 1506 attendees and 2 entrance gates. How many attendees enter through each gate?
753 attendees enter through each gate.
Dividing the attendees by the number of entrance gates will give the number of attendees per gate.
1506/2 = 753
A publisher needs to distribute 1506 books into 3 warehouses. How many books will each warehouse receive?
Each warehouse will receive 502 books.
Divide the total number of books by the number of warehouses.
1506/3 = 502
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.