100 LearnersLast updated on May 26th, 2025
Factors of 1489
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 1489, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1489?
The numbers that divide 1489 evenly are known as factors of 1489.
A factor of 1489 is a number that divides the number without remainder.
The factors of 1489 are 1 and 1489.
Negative factors of 1489: -1 and -1489.
Prime factors of 1489: 1489 (since 1489 is a prime number).
Prime factorization of 1489: 1489 (as it cannot be broken down further).
The sum of factors of 1489: 1 + 1489 = 1490
How to Find Factors of 1489?
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 1489. Since 1489 is a prime number, the only multiplication pair is:
Step 1: Multiply 1489 by 1, 1489 × 1 = 1489.
Therefore, the positive factor pair of 1489 is: (1, 1489).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by 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 1489 by 1, 1489 ÷ 1 = 1489.
Step 2: Check other numbers, but since 1489 is prime, no other number divides it evenly.
Therefore, the factors of 1489 are: 1 and 1489.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. However, since 1489 is a prime number, it cannot be divided further by other primes.
Using Prime Factorization: In this process, prime factors of 1489 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1, but in this case, 1489 is already a prime number.
The prime factor of 1489 is 1489 itself.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, for 1489, since it is a prime number, the factor tree would simply show 1489 at the top with no branches as it cannot be broken down further.
Common Mistakes and How to Avoid Them in Factors of 1489
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 1489, 1 and 1489 are also factors.
Factors of 1489 Examples
Problem 1
There are 1489 apples to be distributed equally among two large crates. How many apples will each crate hold?
Each crate will hold 1489 apples.
Explanation
Since 1489 is a prime number, it can only be divided by 1 and itself. Therefore, all apples go into one crate, assuming one crate can hold all.
Problem 2
A rectangular banner has a length of 1489 cm, and the total area is also 1489 square cm. What is the width?
1 cm.
Explanation
To find the width of the banner, we use the formula, Area = length × width
1489 = 1489 × width
Therefore, width = 1.
Problem 3
There are 1489 pages to be printed, and each printer can print one page at a time. How many printers are needed if only one page can be printed simultaneously?
1489 printers.
Explanation
Since each printer can print only one page at a time, and 1489 pages need to be printed simultaneously, we need 1489 printers.
Problem 4
A stadium can hold 1489 people. If each row holds 1 person, how many rows are there?
1489 rows.
Explanation
If each row holds 1 person, then there are as many rows as there are people. Therefore, 1489 rows.
Problem 5
1489 is the number of seats in a theater distributed equally in 1 row. How many seats are there in each row?
1489 seats.
Explanation
Since the seats are distributed equally in 1 row, each row will have all 1489 seats.
FAQs on Factors of 1489
1.What are the factors of 1489?
2.Mention the prime factors of 1489.
3.Is 1489 a multiple of any number other than 1 and itself?
4.Mention the factor pairs of 1489?
5.What is the square of 1489?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1489?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1489 with numbers?
8.What role do numbers and Factors of 1489 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1489 skills?
Important Glossaries for Factors of 1489
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1489 are 1 and 1489.
- Prime factors: The factors which are prime numbers. For example, 1489 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1489 is (1, 1489).
- Prime number: A number greater than 1 that has no factors other than 1 and itself. For example, 1489 is a prime number.
- Multiplication method: A method to find factors by identifying pairs of numbers multiplied to give the original number. For example, 1489 × 1 = 1489.
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About BrightChamps in United Arab Emirates
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.
