107 LearnersLast updated on May 26th, 2025
Factors of 898
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 898, how they are used in real life, and tips to learn them quickly.
What are the Factors of 898?
The numbers that divide 898 evenly are known as factors of 898. A factor of 898 is a number that divides the number without a remainder. The factors of 898 are 1, 2, 449, and 898.
Negative factors of 898: -1, -2, -449, and -898.
Prime factors of 898: 2 and 449.
Prime factorization of 898: 2 × 449.
The sum of factors of 898: 1 + 2 + 449 + 898 = 1350
How to Find Factors of 898?
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 898. Identifying the numbers which are multiplied to get the number 898 is the multiplication method.
Step 1: Multiply 898 by 1, 898 × 1 = 898.
Step 2: Check for other numbers that give 898 after multiplying 2 × 449 = 898
Therefore, the positive factor pairs of 898 are: (1, 898) and (2, 449). All these factor pairs result in 898. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
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 division method -
Step 1: Divide 898 by 1, 898 ÷ 1 = 898.
Step 2: Continue dividing 898 by the numbers until the remainder becomes 0.
898 ÷ 1 = 898
898 ÷ 2 = 449
Therefore, the factors of 898 are: 1, 2, 449, 898.
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 898 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
898 ÷ 2 = 449
449 ÷ 449 = 1
The prime factors of 898 are 2 and 449. The prime factorization of 898 is: 2 × 449.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 898 is divided by 2 to get 449.
Step 2: Now divide 449 by 449 to get 1. Here, 449 is a prime number that cannot be divided anymore. So, the prime factorization of 898 is: 2 × 449.
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 898: (1, 898) and (2, 449).
- Negative factor pairs of 898: (-1, -898) and (-2, -449).
Common Mistakes and How to Avoid Them in Factors of 898
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 898, 1 and 898 are also factors.
Factors of 898 Examples
Problem 1
There are 2 teams and 898 candies. How will they divide them equally?
They will get 449 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of teams.
898/2 = 449
Problem 2
A wall is rectangular, the length of the wall is 449 cm and the total area is 898 square cm. Find the width?
2 cm.
Explanation
To find the width of the wall, we use the formula,
Area = length × width
898 = 449 × width
To find the value of width, we need to shift 449 to the left side
. 898/449 = width
Width = 2.
Problem 3
There are 449 boxes and 898 marbles. How many marbles will be in each box?
Each box will have 2 marbles.
Explanation
To find the marbles in each box, divide the total marbles with the boxes.
898/449 = 2
Problem 4
In a laboratory, there are 898 samples, and 449 tests. How many samples are there in each test?
There are 2 samples in each test.
Explanation
Dividing the samples with the total tests, we will get the number of samples in each test.
898/449 = 2
Problem 5
898 pages need to be printed in 2 printers. How many pages will go to each printer?
Each of the printers will print 449 pages.
Explanation
Divide the total pages with printers.
898/2 = 449
FAQs on Factors of 898
1.What are the factors of 898?
2.Mention the prime factors of 898.
3.Is 898 a multiple of 449?
4.Mention the factor pairs of 898?
5.What is the square of 898?
Important Glossaries for Factors of 898
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 898 are 1, 2, 449, and 898.
- Prime factors: The factors which are prime numbers. For example, 2 and 449 are prime factors of 898.
- 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 898 are (1, 898) and (2, 449).
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the original number.
- Division method: A method to find factors by dividing the original number by other numbers without leaving a remainder.
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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.
