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 369, how they are used in real life, and tips to learn them quickly.
The numbers that divide 369 evenly are known as factors of 369. A factor of 369 is a number that divides the number without remainder. The factors of 369 are 1, 3, 9, 41, 123, and 369. Negative factors of 369: -1, -3, -9, -41, -123, and -369. Prime factors of 369: 3 and 41. Prime factorization of 369: 3² × 41. The sum of factors of 369: 1 + 3 + 9 + 41 + 123 + 369 = 546
Factors can be found using different methods. Mentioned below are some commonly used methods: Finding factors using multiplication Finding factors using division method Prime factors and Prime factorization
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 369. Identifying the numbers which are multiplied to get the number 369 is the multiplication method. Step 1: Multiply 369 by 1, 369 × 1 = 369. Step 2: Check for other numbers that give 369 after multiplying 3 × 123 = 369 9 × 41 = 369 Therefore, the positive factor pairs of 369 are: (1, 369), (3, 123), (9, 41). All these factor pairs result in 369. 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 369 by 1, 369 ÷ 1 = 369. Step 2: Continue dividing 369 by the numbers until the remainder becomes 0. 369 ÷ 1 = 369 369 ÷ 3 = 123 369 ÷ 9 = 41 Therefore, the factors of 369 are: 1, 3, 9, 41, 123, 369.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods: Using prime factorization Using factor tree Using Prime Factorization: In this process, prime factors of 369 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 369 ÷ 3 = 123 123 ÷ 3 = 41 41 ÷ 41 = 1 The prime factors of 369 are 3 and 41. The prime factorization of 369 is: 3² × 41.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 369 is divided by 3 to get 123. Step 2: Now divide 123 by 3 to get 41. Step 3: 41 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 369 is: 3² × 41. 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 369: (1, 369), (3, 123), and (9, 41). Negative factor pairs of 369: (-1, -369), (-3, -123), and (-9, -41).
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 baskets and 369 apples. How will they divide it equally?
They will get 123 apples each.
To divide the apples equally, we need to divide the total apples by the number of baskets. 369/3 = 123
A rectangular garden has a length of 9 meters and a total area of 369 square meters. Find the width.
41 meters.
To find the width of the garden, we use the formula, Area = length × width 369 = 9 × width To find the value of width, we need to shift 9 to the left side. 369/9 = width Width = 41.
There are 9 boxes and 369 marbles. How many marbles will be in each box?
Each box will have 41 marbles.
To find the marbles in each box, divide the total marbles by the boxes. 369/9 = 41
In a class, there are 369 students, and 41 teams. How many students are there in each team?
There are 9 students in each team.
Dividing the students by the total teams, we will get the number of students in each team. 369/41 = 9
369 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 123 books.
Divide total books by shelves. 369/3 = 123
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 369 are 1, 3, 9, 41, 123, and 369. Prime factors: The factors which are prime numbers. For example, 3 and 41 are prime factors of 369. Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 369 are (1, 369), (3, 123), etc. Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 369 is 3² × 41. Multiples: The product of a number and an integer. For example, 369 is a multiple of 9.
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.