121 LearnersLast updated on June 10th, 2025
Factors of 1498
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 1498, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1498?
The numbers that divide 1498 evenly are known as factors of 1498.
A factor of 1498 is a number that divides the number without remainder.
The factors of 1498 are 1, 2, 749, and 1498.
Negative factors of 1498: -1, -2, -749, and -1498.
Prime factors of 1498: 2 and 749.
Prime factorization of 1498: 2 × 749.
The sum of factors of 1498: 1 + 2 + 749 + 1498 = 2250.
How to Find Factors of 1498?
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 1498. Identifying the numbers which are multiplied to get the number 1498 is the multiplication method.
Step 1: Multiply 1498 by 1, 1498 × 1 = 1498.
Step 2: Check for other numbers that give 1498 after multiplying:
2 × 749 = 1498
Therefore, the positive factor pairs of 1498 are: (1, 1498), (2, 749).
All these factor pairs result in 1498.
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 a simple division method:
Step 1: Divide 1498 by 1, 1498 ÷ 1 = 1498.
Step 2: Continue dividing 1498 by the numbers until the remainder becomes 0.
1498 ÷ 1 = 1498
1498 ÷ 2 = 749
Therefore, the factors of 1498 are: 1, 2, 749, 1498.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 1498 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1498 ÷ 2 = 749
749 is a prime number and cannot be divided further.
The prime factors of 1498 are 2 and 749.
The prime factorization of 1498 is: 2 × 749.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1498 is divided by 2 to get 749.
Step 2: 749 is prime and cannot be divided further. So, the prime factorization of 1498 is: 2 × 749.
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 1498: (1, 1498), (2, 749).
Negative factor pairs of 1498: (-1, -1498), (-2, -749).
Common Mistakes and How to Avoid Them in Factors of 1498
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 1498, 1 and 1498 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1498 include -1, -2, -749, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1498/1.5 does not yield 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 1498 are prime numbers. 2 is a prime factor of 1498, but it has other factors like 749.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, failing to break 1498 as 2 × 749 and missing key factors.
Factors of 1498 Examples
Problem 1
A gardener has 1498 plants and 2 sections in the garden. How many plants will be in each section?
Each section will have 749 plants.
Explanation
To divide the plants equally, we need to divide the total plants by the number of sections.
1498/2 = 749
Problem 2
A hall can hold 1498 chairs in 2 rows. How many chairs are in each row?
Each row has 749 chairs.
Explanation
To find the number of chairs in each row, divide the total number of chairs by the number of rows.
1498/2 = 749
Problem 3
There are 1498 candies and 1 jar. How many candies will be in the jar?
The jar will have 1498 candies.
Explanation
Since there is only one jar, all candies go into it.
1498/1 = 1498
Problem 4
A store has 2 large boxes containing a total of 1498 items. How many items are in each box?
Each box contains 749 items.
Explanation
Divide the total items by the number of boxes to find how many items per box.
1498/2 = 749
Problem 5
There are 1498 seats in a theater and 1 show. How many seats are available per show?
All 1498 seats are available per show.
Explanation
Since there is only one show, all seats are available for it.
1498/1 = 1498
FAQs on Factors of 1498
1.What are the factors of 1498?
2.Mention the prime factors of 1498.
3.Is 1498 a multiple of 2?
4.Mention the factor pairs of 1498?
5.What is the square of 1498?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1498?
7.What are some fun ways kids in Qatar can practice Factors of 1498 with numbers?
8.What role do numbers and Factors of 1498 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1498 skills?
Important Glossaries for Factors of 1498
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1498 are 1, 2, 749, and 1498.
- Prime factors: The factors which are prime numbers. For example, 2 and 749 are prime factors of 1498.
- 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 1498 are (1, 1498), (2, 749).
- Prime factorization: The expression of a number as the product of its prime factors. For 1498, it is 2 × 749.
- Negative factors: Negative numbers that can divide the original number without a remainder. For 1498, they include -1, -2, -749, -1498.
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About BrightChamps in Qatar
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.
