122 LearnersLast updated on May 26th, 2025
Factors of 1345
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 1345, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1345?
The numbers that divide 1345 evenly are known as factors of 1345.
A factor of 1345 is a number that divides the number without remainder.
The factors of 1345 are 1, 5, 269, and 1345.
Negative factors of 1345: -1, -5, -269, and -1345.
Prime factors of 1345: 5 and 269.
Prime factorization of 1345: 5 × 269.
The sum of factors of 1345: 1 + 5 + 269 + 1345 = 1620
How to Find Factors of 1345?
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 1345. Identifying the numbers that are multiplied to get the number 1345 is the multiplication method.
Step 1: Multiply 1345 by 1, 1345 × 1 = 1345.
Step 2: Check for other numbers that give 1345 after multiplying 5 × 269 = 1345
Therefore, the positive factor pairs of 1345 are: (1, 1345) and (5, 269).
All these factor pairs result in 1345.
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 as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1345 by 1, 1345 ÷ 1 = 1345.
Step 2: Continue dividing 1345 by the numbers until the remainder becomes 0.
1345 ÷ 1 = 1345
1345 ÷ 5 = 269
Therefore, the factors of 1345 are: 1, 5, 269, and 1345.
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 1345 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1345 ÷ 5 = 269
269 ÷ 269 = 1
The prime factors of 1345 are 5 and 269.
The prime factorization of 1345 is: 5 × 269.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1345 is divided by 5 to get 269.
Step 2: Now divide 269 by 269 to get 1. Here, 269 is a prime number that cannot be divided anymore. So, the prime factorization of 1345 is: 5 × 269.
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 1345: (1, 1345) and (5, 269).
Negative factor pairs of 1345: (-1, -1345) and (-5, -269).
Common Mistakes and How to Avoid Them in Factors of 1345
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 number. Always remember to include 1 and the number itself.
For example, in factors of 1345, 1 and 1345 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 1345 consist of -1, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 2.5 as a factor, because 1345/2.5 = 538, and it is not 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 1345 are prime numbers.
For example, 5 and 269 are the prime factors of 1345, but it has other factors like 1345.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1345 as 5 × 269 and missing all the key factors.
Factors of 1345 Examples
Problem 1
There are 5 workers and 1345 bricks. How will they distribute it equally?
They will get 269 bricks each.
Explanation
To divide the bricks equally, we need to divide the total bricks by the number of workers.
1345/5 = 269
Problem 2
A rectangular garden has a length of 269 meters and a total area of 1345 square meters. Find the width.
5 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1345 = 269 × width
To find the value of width, we need to shift 269 to the left side.
1345/269 = width
Width = 5.
Problem 3
There are 269 boxes and 1345 toys. How many toys will be in each box?
Each box will have 5 toys.
Explanation
To find the toys in each box, divide the total toys by the number of boxes.
1345/269 = 5
Problem 4
In a school, there are 1345 students, and 5 buses. How many students are there in each bus?
There are 269 students in each bus.
Explanation
Dividing the students by the total buses, we will get the number of students in each bus.
1345/5 = 269
Problem 5
1345 apples need to be arranged in 5 baskets. How many apples will go in each basket?
Each of the baskets has 269 apples.
Explanation
Divide total apples by the baskets.
1345/5 = 269
FAQs on Factors of 1345
1.What are the factors of 1345?
2.Mention the prime factors of 1345.
3.Is 1345 a multiple of 5?
4.Mention the factor pairs of 1345?
5.What is the square of 1345?
6.How can children in Oman use numbers in everyday life to understand Factors of 1345?
7.What are some fun ways kids in Oman can practice Factors of 1345 with numbers?
8.What role do numbers and Factors of 1345 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of 1345 skills?
Important Glossaries for Factor of 1345
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1345 are 1, 5, 269, and 1345.
- Prime factors: The factors which are prime numbers. For example, 5 and 269 are prime factors of 1345.
- 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 1345 are (1, 1345) and (5, 269).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1345 is 5 × 269.
- Multiple: A number that can be divided by another number without a remainder. For example, 1345 is a multiple of 5.
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About BrightChamps in Oman
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.
