126 LearnersLast updated on May 26th, 2025
Factors of 367
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.
What are the Factors of 367?
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
How to Find Factors of 367?
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
Finding Factors Using Multiplication
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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 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.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself. For example, in factors of 367, 1 and 367 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors. For example, the factors of 367 consist of -1 and -367.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors. For example, thinking 1.5 as a factor, because 367/1.5 ≈ 244.667, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not just primes. For example, thinking all the factors of 367 are prime numbers. 367 is a prime number, so it only has two factors: 1 and 367.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors. For example, not recognizing that 367 is a prime number and trying to break it further.
Factors of 367 Examples
Problem 1
There are 367 apples and 1 basket. How will they distribute them?
All 367 apples will be put into the basket.
Explanation
Since there is only one basket, all apples will go into it. 367/1 = 367
Problem 2
A long hallway is 367 meters long. If you place a marker every 367 meters, how many markers will you need?
1 marker.
Explanation
To place markers every 367 meters in a 367-meter hallway, you only need 1 marker at the end.
Problem 3
There are 367 participants in a marathon, and each participant receives 1 medal. How many medals are needed?
367 medals.
Explanation
Each participant gets 1 medal, so for 367 participants, you need 367 medals.
Problem 4
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.
Explanation
With only one shelf available, all books need to be placed on it. 367/1 = 367
Problem 5
367 students need to be seated in a single auditorium. How many seats are required?
367 seats.
Explanation
Each student needs a seat, so 367 students require 367 seats.
FAQs on Factors of 367
1.What are the factors of 367?
2.Mention the prime factors of 367.
3.Is 367 a multiple of any number other than 1 and 367?
4.Mention the factor pairs of 367.
5.What is the square of 367?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 367?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 367 with numbers?
8.What role do numbers and Factors of 367 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 367 skills?
Important Glossaries for Factors of 367
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.
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About BrightChamps in Saudi Arabia
Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
