124 LearnersLast updated on May 26th, 2025
Factors of 365
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 365, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 365?
The numbers that divide 365 evenly are known as factors of 365. A factor of 365 is a number that divides the number without remainder. The factors of 365 are 1, 5, 73, and 365. Negative factors of 365: -1, -5, -73, and -365. Prime factors of 365: 5 and 73. Prime factorization of 365: 5 × 73. The sum of factors of 365: 1 + 5 + 73 + 365 = 444
How to Find Factors of 365?
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 365. Identifying the numbers which are multiplied to get the number 365 is the multiplication method. Step 1: Multiply 365 by 1, 365 × 1 = 365. Step 2: Check for other numbers that give 365 after multiplying 5 × 73 = 365 Therefore, the positive factor pairs of 365 are: (1, 365), (5, 73). All these factor pairs result in 365. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 365 by 1, 365 ÷ 1 = 365. Step 2: Continue dividing 365 by the numbers until the remainder becomes 0. 365 ÷ 1 = 365 365 ÷ 5 = 73 365 ÷ 73 = 5 Therefore, the factors of 365 are: 1, 5, 73, 365.
Prime Factors and Prime Factorization
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 365 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 365 ÷ 5 = 73 73 ÷ 73 = 1 The prime factors of 365 are 5 and 73. The prime factorization of 365 is: 5 × 73.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 365 is divided by 5 to get 73. Step 2: Now divide 73 by 73 to get 1. Here, 73 is a prime number, and cannot be divided anymore. So, the prime factorization of 365 is: 5 × 73. 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 365: (1, 365), (5, 73). Negative factor pairs of 365: (-1, -365), (-5, -73).
Common Mistakes and How to Avoid Them in Factors of 365
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 the factors for every word. Always remember to include 1 and the number itself. For example, in factors of 365, 1 and 365 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors. For example, the factors of 365 include -1, -5, -73, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor. For example, thinking 1.5 as a factor, because 365/1.5 does not give a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of 365 are prime numbers. For example, 5 and 73 are the prime factors of 365, but it also has other factors like 1 and 365.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not acknowledging the factorization of 365 as 5 × 73 and missing key factors.
Factors of 365 Examples
Problem 1
There are 5 groups and 365 marbles. How will they divide them equally?
They will get 73 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles with the number of groups. 365/5 = 73
Problem 2
A rectangular garden has a width of 5 meters and a total area of 365 square meters. What is the length?
73 meters.
Explanation
To find the length of the garden, we use the formula, Area = length × width 365 = length × 5 To find the value of length, we need to shift 5 to the left side. 365/5 = length Length = 73.
Problem 3
There are 73 boxes and 365 candies. How many candies will be in each box?
Each box will have 5 candies.
Explanation
To find the candies in each box, divide the total candies by the number of boxes. 365/73 = 5
Problem 4
In a class, there are 365 students, and they are divided into 5 groups. How many students are there in each group?
There are 73 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group. 365/5 = 73
Problem 5
365 pages need to be distributed equally among 5 binders. How many pages will go in each binder?
Each binder will have 73 pages.
Explanation
Divide total pages by the number of binders. 365/5 = 73
FAQs on Factors of 365
1.What are the factors of 365?
2.Mention the prime factors of 365.
3.Is 365 a multiple of 5?
4.Mention the factor pairs of 365?
5.What is the square of 365?
Important Glossaries for Factor of 365
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 365 are 1, 5, 73, and 365. Prime factors: The factors which are prime numbers. For example, 5 and 73 are prime factors of 365. 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 365 are (1, 365) and (5, 73). Multiples: Numbers that can be divided by another number without a remainder. For example, 365 is a multiple of 5. Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 365 is 5 × 73.
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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.
