Last updated on May 26th, 2025
Factors are 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 367, how they are used in real life, and tips to learn them quickly.
The numbers that divide 367 evenly are known as factors of 367. A factor of 367 is a number that divides the number without a remainder. The factors of 367 are 1 and 367 since 367 is a prime number. Negative factors of 367: -1 and -367. Prime factors of 367: 367 itself, as it is a prime number. Prime factorization of 367: 367. The sum of factors of 367: 1 + 367 = 368
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 367. Since 367 is a prime number, it only has two factors. Step 1: Multiply 367 by 1, 367 × 1 = 367. Since no other multiplication pair other than 1 and 367 gives 367, the positive factor pairs of 367 are: (1, 367). 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 in whole numbers as factors. Factors can be calculated by following the simple division method - Step 1: Divide 367 by 1, 367 ÷ 1 = 367. Step 2: Test dividing 367 by other numbers up to its square root (which is approximately 19.14). If the division yields a whole number, that is a factor. Since 367 is prime, it only divides evenly by 1 and 367. Therefore, the factors of 367 are: 1 and 367.
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 Using factor tree Using Prime Factorization: In this process, a prime factor of 367 divides the number to break it down into a multiplication form of prime factors until the remainder becomes 1. Since 367 is a prime number, the only prime factor is 367 itself. The prime factorization of 367 is: 367.
The factor tree is the graphical representation of breaking down any number into prime factors. Since 367 is a prime number, the factor tree is simple: 367 | 367 So, the prime factorization of 367 is: 367. 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 367: (1, 367). Negative factor pairs of 367: (-1, -367).
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 367 apples and 1 basket. How will they distribute them?
All 367 apples will be put into the basket.
Since there is only one basket, all apples will go into it. 367/1 = 367
A long hallway is 367 meters long. If you place a marker every 367 meters, how many markers will you need?
1 marker.
To place markers every 367 meters in a 367-meter hallway, you only need 1 marker at the end.
There are 367 participants in a marathon, and each participant receives 1 medal. How many medals are needed?
367 medals.
Each participant gets 1 medal, so for 367 participants, you need 367 medals.
A bookshelf has 367 books, and there is 1 shelf. How many books will go on each shelf?
All 367 books will go on the shelf.
With only one shelf available, all books need to be placed on it. 367/1 = 367
367 students need to be seated in a single auditorium. How many seats are required?
367 seats.
Each student needs a seat, so 367 students require 367 seats.
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 367 are 1 and 367. Prime factors: The factors which are prime numbers. For example, 367 is a prime factor of itself. Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 367 is (1, 367). Prime number: A number that has only two factors, 1 and itself. 367 is a prime number. Prime factorization: Expressing a number as the product of its prime factors. For 367, the prime factorization is 367 itself.
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.