117 LearnersLast updated on May 26th, 2025
Factors of 902
Factors are the numbers that divide any given number evenly without a 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 902, how they are used in real life, and tips to learn them quickly.
What are the Factors of 902?
The numbers that divide 902 evenly are known as factors of 902. A factor of 902 is a number that divides the number without a remainder. The factors of 902 are 1, 2, 3, 6, 151, 301, 451, and 902.
Negative factors of 902: -1, -2, -3, -6, -151, -301, -451, and -902.
Prime factors of 902: 2, 3, and 151.
Prime factorization of 902: 2 × 3 × 151.
The sum of factors of 902: 1 + 2 + 3 + 6 + 151 + 301 + 451 + 902 = 1817
How to Find Factors of 902?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 902. Identifying the numbers which are multiplied to get the number 902 is the multiplication method.
Step 1: Multiply 902 by 1, 902 × 1 = 902.
Step 2: Check for other numbers that give 902 after multiplying
2 × 451 = 902
3 × 301 = 902
6 × 151 = 902
Therefore, the positive factor pairs of 902 are: (1, 902), (2, 451), (3, 301), (6, 151). All these factor pairs result in 902. 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 902 by 1, 902 ÷ 1 = 902.
Step 2: Continue dividing 902 by the numbers until the remainder becomes 0.
902 ÷ 1 = 902
902 ÷ 2 = 451
902 ÷ 3 = 301
902 ÷ 6 = 151
Therefore, the factors of 902 are: 1, 2, 3, 6, 151, 301, 451, 902.
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 902 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
902 ÷ 2 = 451
451 ÷ 3 = 150.333 (Continue with 3)
451 ÷ 151 = 3
151 ÷ 151 = 1
The prime factors of 902 are 2, 3, and 151. The prime factorization of 902 is: 2 × 3 × 151.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 902 is divided by 2 to get 451.
Step 2: Now divide 451 by 3 to get 150.333 (Continue with 3)
Step 3: Divide 451 by 151 to get 3. Step 4: Divide 151 by 151 to get 1.Here, 151 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 902 is: 2 × 3 × 151.
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 902: (1, 902), (2, 451), (3, 301), and (6, 151).
- Negative factor pairs of 902: (-1, -902), (-2, -451), (-3, -301), and (-6, -151).
Common Mistakes and How to Avoid Them in Factors of 902
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 902, 1 and 902 are also factors.
Factors of 902 Examples
Problem 1
There are 902 apples and 2 baskets. How will they divide it equally?
They will get 451 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of baskets.
902/2 = 451
Problem 2
A rectangular plot has a length of 151 meters and a total area of 902 square meters. Find the width.
6 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
902 = 151 × width
To find the value of width, we need to shift 151 to the left side.
902/151 = width
Width = 6.
Problem 3
There are 3 trucks and 902 boxes. How many boxes will be in each truck?
Each truck will have 300 boxes.
Explanation
To find the boxes in each truck, divide the total boxes with the trucks.
902/3 = 300
Problem 4
In a competition, there are 902 participants and 451 teams. How many participants are there in each team?
There are 2 participants in each team.
Explanation
Dividing the participants with the total teams, we will get the number of participants in each team.
902/451 = 2
Problem 5
902 chairs need to be arranged in 6 rows. How many chairs will go in each row?
Each of the rows has 151 chairs.
Explanation
Divide total chairs with rows.
902/6 = 151
FAQs on Factors of 902
1.What are the factors of 902?
2.Mention the prime factors of 902.
3.Is 902 a multiple of 3?
4.Mention the factor pairs of 902?
5.What is half of 902?
Important Glossaries for Factor of 902
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 902 are 1, 2, 3, 6, 151, 301, 451, 902.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 151 are prime factors of 902.
- 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 902 are (1, 902), (2, 451), etc.
- Multiples: A multiple is the product of a number and an integer. For example, 902 is a multiple of 1, 2, and 3.
- Division Method: A method used to find factors by dividing the number with integers until the remainder is zero. For example, 902 ÷ 1 = 902, 902 ÷ 2 = 451, etc.
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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.
