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 355, how they are used in real life, and tips to learn them quickly.
The numbers that divide 355 evenly are known as factors of 355.
A factor of 355 is a number that divides the number without remainder. The factors of 355 are 1, 5, 71, and 355.
Negative factors of 355: -1, -5, -71, and -355.
Prime factors of 355: 5 and 71.
Prime factorization of 355: 5 × 71.
The sum of factors of 355: 1 + 5 + 71 + 355 = 432
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 355. Identifying the numbers which are multiplied to get the number 355 is the multiplication method.
Step 1: Multiply 355 by 1, 355 × 1 = 355.
Step 2: Check for other numbers that give 355 after multiplying 5 × 71 = 355 Therefore, the positive factor pairs of 355 are: (1, 355) and (5, 71).
All these factor pairs result in 355.
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 the simple division method
Step 1: Divide 355 by 1, 355 ÷ 1 = 355.
Step 2: Continue dividing 355 by the numbers until the remainder becomes 0.
355 ÷ 1 = 355
355 ÷ 5 = 71
Therefore, the factors of 355 are: 1, 5, 71, and 355.
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 355 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
355 ÷ 5 = 71
71 ÷ 71 = 1
The prime factors of 355 are 5 and 71.
The prime factorization of 355 is: 5 × 71.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 355 is divided by 5 to get 71.
Step 2: Now divide 71 by 71 to get 1. Here, 71 is a prime number, and cannot be divided anymore. So, the prime factorization of 355 is: 5 × 71.
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 355: (1, 355) and (5, 71).
Negative factor pairs of 355: (-1, -355) and (-5, -71).
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 5 teams and 355 participants. How will they divide the participants equally?
Each team will have 71 participants.
To divide the participants equally, we need to divide the total participants by the number of teams.
355/5 = 71
A rectangular garden has a length of 71 meters and a total area of 355 square meters. Find the width?
5 meters.
To find the width of the garden, we use the formula,
Area = length × width
355 = 71 × width
To find the width, divide the area by the length.
355/71 = width
Width = 5.
There are 71 lockers and 355 keys. How many keys can be assigned to each locker?
Each locker will have 5 keys.
To find the keys in each locker, divide the total keys by the lockers.
355/71 = 5
In a tournament, there are 355 players, and 71 groups. How many players are there in each group?
There are 5 players in each group.
Dividing the players by the total groups gives the number of players in each group.
355/71 = 5
355 plants need to be arranged in 5 rows. How many plants will go in each row?
Each row will have 71 plants.
Divide the total plants by the rows.
355/5 = 71
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.