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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 1002, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1002 evenly are known as factors of 1002.
A factor of 1002 is a number that divides the number without remainder.
The factors of 1002 are 1, 2, 3, 6, 167, 334, 501, and 1002.
Negative factors of 1002: -1, -2, -3, -6, -167, -334, -501, and -1002.
Prime factors of 1002: 2, 3, and 167.
Prime factorization of 1002: 2 × 3 × 167.
The sum of factors of 1002: 1 + 2 + 3 + 6 + 167 + 334 + 501 + 1002 = 2016
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 1002. Identifying the numbers which are multiplied to get the number 1002 is the multiplication method.
Step 1: Multiply 1002 by 1, 1002 × 1 = 1002.
Step 2: Check for other numbers that give 1002 after multiplying
2 × 501 = 1002
3 × 334 = 1002
6 × 167 = 1002
Therefore, the positive factor pairs of 1002 are: (1, 1002), (2, 501), (3, 334), (6, 167).
All these factor pairs result in 1002.
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 the simple division method
Step 1: Divide 1002 by 1, 1002 ÷ 1 = 1002.
Step 2: Continue dividing 1002 by the numbers until the remainder becomes 0.
1002 ÷ 1 = 1002
1002 ÷ 2 = 501
1002 ÷ 3 = 334
1002 ÷ 6 = 167
Therefore, the factors of 1002 are: 1, 2, 3, 6, 167, 334, 501, 1002.
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 1002 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1002 ÷ 2 = 501
501 ÷ 3 = 167
167 is a prime number, so it cannot be divided further by any number other than 1 and 167.
The prime factors of 1002 are 2, 3, and 167.
The prime factorization of 1002 is: 2 × 3 × 167.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1002 is divided by 2 to get 501.
Step 2: Now divide 501 by 3 to get 167. Here, 167 is a prime number that cannot be divided anymore. So, the prime factorization of 1002 is: 2 × 3 × 167.
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 1002: (1, 1002), (2, 501), (3, 334), (6, 167).
Negative factor pairs of 1002: (-1, -1002), (-2, -501), (-3, -334), (-6, -167).
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 1002 participants in a competition. How many participants will be in each team?
They will get 167 participants each.
To divide the participants equally, we need to divide the total participants by the number of teams.
1002/6 = 167
A garden is rectangular, the length of the garden is 334 meters and the total area is 1002 square meters. Find the width?
3 meters.
To find the width of the garden, we use the formula,
Area = length × width
1002 = 334 × width
To find the value of width, we need to shift 334 to the left side.
1002/334 = width
Width = 3.
There are 501 bags and 1002 apples. How many apples will be in each bag?
Each bag will have 2 apples.
To find the apples in each bag, divide the total apples by the bags.
1002/501 = 2
In a school, there are 1002 students and 3 groups. How many students are there in each group?
There are 334 students in each group.
Dividing the students with the total groups, we will get the number of students in each group.
1002/3 = 334
1002 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 501 books.
Divide total books by shelves.
1002/2 = 501
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.