Last updated on May 26th, 2025
Factors are numbers that divide a 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 4489, how they are used in real life, and tips to learn them quickly.
The numbers that divide 4489 evenly are known as factors of 4489.
A factor of 4489 is a number that divides the number without a remainder.
The factors of 4489 are 1, 67, and 4489.
Negative factors of 4489: -1, -67, and -4489.
Prime factors of 4489: 67. Prime factorization of 4489: 67 × 67.
The sum of factors of 4489: 1 + 67 + 4489 = 4557
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 4489. Identifying the numbers which are multiplied to get the number 4489 is the multiplication method.
Step 1: Multiply 4489 by 1, 4489 × 1 = 4489.
Step 2: Check for other numbers that give 4489 after multiplying.
67 × 67 = 4489
Therefore, the positive factor pairs of 4489 are: (1, 4489) and (67, 67).
For every positive factor, there is a negative factor.
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 4489 by 1, 4489 ÷ 1 = 4489.
Step 2: Continue dividing 4489 by the numbers until the remainder becomes 0.
4489 ÷ 1 = 4489
4489 ÷ 67 = 67
Therefore, the factors of 4489 are: 1, 67, and 4489.
The factors can be found by dividing by prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 4489 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
4489 ÷ 67 = 67
67 ÷ 67 = 1
The prime factor of 4489 is 67.
The prime factorization of 4489 is: 67 × 67.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 4489 is divided by 67 to get 67.
Step 2: Divide 67 by 67 to get 1. Here, 67 is a prime number, so it cannot be divided further. So, the prime factorization of 4489 is: 67 × 67.
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 4489: (1, 4489) and (67, 67).
Negative factor pairs of 4489: (-1, -4489) and (-67, -67).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 67 rows in a theater and 4489 seats. How many seats are in each row?
There are 67 seats in each row.
To find the number of seats in each row, divide the total seats by the number of rows.
4489/67 = 67
A square garden has an area of 4489 square meters. What is the length of one side?
67 meters.
To find the length of one side of the square garden, we use the formula, Area = side × side
4489 = side × side
The square root of 4489 is 67, so the length of one side is 67 meters.
A factory packs 4489 items in boxes, with each box containing 67 items. How many boxes are used?
67 boxes.
To find the number of boxes used, divide the total items by the number of items per box.
4489/67 = 67
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.
: She loves to read number jokes and games.