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 1059, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1059 evenly are known as factors of 1059.
A factor of 1059 is a number that divides the number without remainder.
The factors of 1059 are 1, 3, 353, and 1059.
Negative factors of 1059: -1, -3, -353, and -1059.
Prime factors of 1059: 3 and 353.
Prime factorization of 1059: 3 × 353.
The sum of factors of 1059: 1 + 3 + 353 + 1059 = 1416
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 1059. Identifying the numbers which are multiplied to get the number 1059 is the multiplication method.
Step 1: Multiply 1059 by 1, 1059 × 1 = 1059.
Step 2: Check for other numbers that give 1059 after multiplying 3 × 353 = 1059
Therefore, the positive factor pairs of 1059 are: (1, 1059) and (3, 353). All these factor pairs result in 1059. For every positive factor, there is a negative factor.
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 1059 by 1, 1059 ÷ 1 = 1059.
Step 2: Continue dividing 1059 by the numbers until the remainder becomes 0.
1059 ÷ 1 = 1059
1059 ÷ 3 = 353
Therefore, the factors of 1059 are: 1, 3, 353, and 1059.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1059 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1059 ÷ 3 = 353 353 is a prime number and cannot be divided further.
The prime factors of 1059 are 3 and 353.
The prime factorization of 1059 is: 3 × 353.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1059 is divided by 3 to get 353
Step 2: 353 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1059 is: 3 × 353.
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 1059: (1, 1059) and (3, 353).
Negative factor pairs of 1059: (-1, -1059) and (-3, -353).
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 3 classrooms and 1059 chairs. How will they divide it equally?
They will get 353 chairs each.
To divide the chairs equally, we need to divide the total chairs by the number of classrooms.
1059/3 = 353
A field is rectangular, the width of the field is 3 meters and the total area is 1059 square meters. Find the length?
353 meters.
To find the length of the field, we use the formula,
Area = length × width
1059 = length × 3
To find the value of length, we need to shift 3 to the left side.
1059/3 = length
Length = 353.
There are 353 bags and 1059 books. How many books will be in each bag?
Each bag will have 3 books.
To find the books in each bag, divide the total books by the bags.
1059/353 = 3
In a class, there are 1059 students, and 3 groups. How many students are there in each group?
There are 353 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
1059/3 = 353
1059 pages need to be printed in 3 printers. How many pages will each printer handle?
Each of the printers will handle 353 pages.
Divide total pages by printers.
1059/3 = 353
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.