105 LearnersLast updated on May 26th, 2025
Factors of 1298
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 1298, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1298?
The numbers that divide 1298 evenly are known as factors of 1298.
A factor of 1298 is a number that divides the number without remainder.
The factors of 1298 are 1, 2, 649, and 1298.
Negative factors of 1298: -1, -2, -649, and -1298.
Prime factors of 1298: 2 and 649.
Prime factorization of 1298: 2 × 649.
The sum of factors of 1298: 1 + 2 + 649 + 1298 = 1950
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How to Find Factors of 1298?
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 1298. Identifying the numbers which are multiplied to get the number 1298 is the multiplication method.
Step 1: Multiply 1298 by 1, 1298 × 1 = 1298.
Step 2: Check for other numbers that give 1298 after multiplying
2 × 649 = 1298
Therefore, the positive factor pairs of 1298 are: (1, 1298) and (2, 649).
All these factor pairs result in 1298.
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 the simple division method -
Step 1: Divide 1298 by 1, 1298 ÷ 1 = 1298.
Step 2: Continue dividing 1298 by the numbers until the remainder becomes 0.
1298 ÷ 1 = 1298
1298 ÷ 2 = 649
Therefore, the factors of 1298 are: 1, 2, 649, and 1298.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1298 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1298 ÷ 2 = 649
649 ÷ 649 = 1
The prime factors of 1298 are 2 and 649.
The prime factorization of 1298 is: 2 × 649.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - t
Step 1: Firstly, 1298 is divided by 2 to get 649.
Step 2: Now divide 649 by 649 to get 1.
So, the prime factorization of 1298 is: 2 × 649.
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 1298: (1, 1298) and (2, 649).
Negative factor pairs of 1298: (-1, -1298) and (-2, -649).
Common Mistakes and How to Avoid Them in Factors of 1298
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 1298, 1 and 1298 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1298 consist of -1, -2, -649, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as a factor. Only whole numbers can be factors.
For example, thinking 3.5 as a factor because 1298/3.5 = 370.857, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of 1298 are prime numbers.
For example, 2 and 649 are the prime factors of 1298, but it has other factors like 1, 1298.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1298 as 2 × 649 and missing all the key factors.
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Factors of 1298 Examples
Problem 1
There are 2 teams and 1298 items. How will they divide it equally?
They will get 649 items each.
Explanation
To divide the items equally, we need to divide the total items with the number of teams.
1298/2 = 649
Problem 2
A rectangular garden has a length of 2 meters and a total area of 1298 square meters. Find the width.
649 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1298 = 2 × width
To find the value of width, we need to shift 2 to the left side.
1298/2 = width
Width = 649.
Problem 3
There are 649 boxes and 2 items per box. How many items are there in total?
There are 1298 items in total.
Explanation
To find the total items, multiply the number of boxes by items per box.
649 × 2 = 1298
Problem 4
A school has 1298 students, and each class has 649 students. How many classes are there?
There are 2 classes.
Explanation
Dividing the students by the number of students per class, we will get the number of classes.
1298/649 = 2
Problem 5
1298 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each shelf will have 649 books.
Explanation
Divide total books by the number of shelves.
1298/2 = 649
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FAQs on Factors of 1298
1.What are the factors of 1298?
2.Mention the prime factors of 1298.
3.Is 1298 a multiple of 2?
4.Mention the factor pairs of 1298?
5.What is the square of 1298?
6.How can children in Canada use numbers in everyday life to understand Factors of 1298?
7.What are some fun ways kids in Canada can practice Factors of 1298 with numbers?
8.What role do numbers and Factors of 1298 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1298 skills?
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Important Glossaries for Factor of 1298
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1298 are 1, 2, 649, and 1298.
- Prime factors: The factors which are prime numbers. For example, 2 and 649 are prime factors of 1298.
- 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 1298 are (1, 1298) and (2, 649).
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1298 is 2 × 649.
- Negative factors: Factors can be negative. For example, the negative factors of 1298 are -1, -2, -649, and -1298.
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About BrightChamps in Canada
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.
