Last updated on May 26th, 2025
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 598, how they are used in real life, and tips to learn them quickly.
The numbers that divide 598 evenly are known as factors of 598.
A factor of 598 is a number that divides the number without remainder.
The factors of 598 are 1, 2, 299, and 598.
Negative factors of 598: -1, -2, -299, and -598.
Prime factors of 598: 2 and 299.
Prime factorization of 598: 2 × 299.
The sum of factors of 598: 1 + 2 + 299 + 598 = 900
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 598. Identifying the numbers which are multiplied to get the number 598 is the multiplication method.
Step 1: Multiply 598 by 1, 598 × 1 = 598.
Step 2: Check for other numbers that give 598 after multiplying
2 × 299 = 598
Therefore, the positive factor pairs of 598 are: (1, 598) and (2, 299). All these factor pairs result in 598. 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 598 by 1, 598 ÷ 1 = 598.
Step 2: Continue dividing 598 by the numbers until the remainder becomes 0.
598 ÷ 1 = 598
598 ÷ 2 = 299
Therefore, the factors of 598 are: 1, 2, 299, 598.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 598 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
598 ÷ 2 = 299
299 ÷ 299 = 1
The prime factors of 598 are 2 and 299.
The prime factorization of 598 is: 2 × 299.
A factor tree is a graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 598 is divided by 2 to get 299.
Step 2: Since 299 is a prime number, it cannot be divided further.
So, the prime factorization of 598 is: 2 × 299.
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 598: (1, 598) and (2, 299).
Negative factor pairs of 598: (-1, -598) and (-2, -299).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A club distributes 598 flyers equally among its members. If each member receives 2 flyers, how many members are there?
There are 299 members.
To find the number of members, divide the total flyers by the number of flyers each member receives.
598/2 = 299
A garden path is 2 meters wide and covers an area of 598 square meters. What is the length of the path?
299 meters.
To find the length of the path, use the formula,
Area = length × width
598 = length × 2
To find the value of the length, divide 598 by 2.
598/2 = length
Length = 299.
A teacher has 598 pencils and wants to distribute them equally among 299 students. How many pencils will each student receive?
Each student will receive 2 pencils.
To find the pencils each student receives, divide the total pencils by the number of students.
598/299 = 2
A roll of fabric is 598 meters long and needs to be cut into pieces of 2 meters each. How many pieces will there be?
There will be 299 pieces.
Divide the total length of the fabric by the length of each piece.
598/2 = 299
A company orders 598 chairs to be arranged in rows of 2 chairs each. How many rows will there be?
There will be 299 rows.
Divide the total number of chairs by the number of chairs per row.
598/2 = 299
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.