Last updated on May 26th, 2025
Factors are the numbers that divide any 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 359, how they are used in real life, and tips to learn them quickly.
The numbers that divide 359 evenly are known as factors of 359.
A factor of 359 is a number that divides the number without a remainder.
The factors of 359 are 1 and 359.
Negative factors of 359: -1 and -359.
Prime factors of 359: 359 (as it is a prime number).
Prime factorization of 359: 359.
The sum of factors of 359: 1 + 359 = 360
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 359. Identifying the numbers that are multiplied to get the number 359 is the multiplication method.
Step 1: Multiply 359 by 1, 359 × 1 = 359.
There are no other whole numbers that multiply to 359 other than 1 and 359 itself.
Therefore, the positive factor pair of 359 is: (1, 359). 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 that result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 359 by 1, 359 ÷ 1 = 359.
Step 2: Continue dividing 359 by the numbers until the remainder becomes 0.
359 ÷ 1 = 359
359 ÷ 359 = 1
Therefore, the factors of 359 are: 1 and 359.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: Since 359 is a prime number, it does not break down further into other prime factors.
The prime factorization of 359 is: 359.
Since 359 is a prime number, it cannot be broken down further using a factor tree. Therefore, the prime factorization of 359 is: 359.
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 359: (1, 359).
Negative factor pairs of 359: (-1, -359).
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 is a painting competition with 359 participants, and each participant needs to receive a unique number. How can you number the participants uniquely?
Each participant can receive a unique number from 1 to 359.
To number the participants uniquely, assign each a number from 1 to 359, as those are the factors.
A museum has 359 artifacts to display in a single row. How many ways can they arrange these artifacts?
They can be arranged in one row of 359 artifacts.
Since 359 is a prime number, the artifacts can only be arranged in one way:
1 row of 359.
A company has 359 employees and needs to form equal groups. How many employees will be in each group if grouped into one?
Each group will have 359 employees.
To form equal groups, divide the total employees by the number of groups, which is 1 in this case.
359/1 = 359
A library has 359 books and plans to place them on a single shelf. How many books will go on the shelf?
All 359 books will go on the shelf.
Since 359 is a prime number, they can only be placed in one way: all on one shelf.
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.