104 LearnersLast updated on May 26th, 2025
Factors of 1245
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 1245, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1245?
The numbers that divide 1245 evenly are known as factors of 1245. A factor of 1245 is a number that divides the number without remainder. The factors of 1245 are 1, 3, 5, 15, 83, 249, 415, and 1245.
Negative factors of 1245: -1, -3, -5, -15, -83, -249, -415, and -1245.
Prime factors of 1245: 3, 5, and 83.
Prime factorization of 1245: 3 × 5 × 83.
The sum of factors of 1245: 1 + 3 + 5 + 15 + 83 + 249 + 415 + 1245 = 2016
How to Find Factors of 1245?
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 1245. Identifying the numbers which are multiplied to get the number 1245 is the multiplication method.
Step 1: Multiply 1245 by 1, 1245 × 1 = 1245.
Step 2: Check for other numbers that give 1245 after multiplying
3 × 415 = 1245
5 × 249 = 1245
15 × 83 = 1245
Therefore, the positive factor pairs of 1245 are: (1, 1245), (3, 415), (5, 249), (15, 83). All these factor pairs result in 1245. 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 1245 by 1, 1245 ÷ 1 = 1245.
Step 2: Continue dividing 1245 by the numbers until the remainder becomes 0.
1245 ÷ 1 = 1245
1245 ÷ 3 = 415
1245 ÷ 5 = 249
1245 ÷ 15 = 83
Therefore, the factors of 1245 are: 1, 3, 5, 15, 83, 249, 415, 1245.
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 1245 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1245 ÷ 3 = 415
415 ÷ 5 = 83
83 ÷ 83 = 1
The prime factors of 1245 are 3, 5, and 83. The prime factorization of 1245 is: 3 × 5 × 83.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1245 is divided by 3 to get 415.
Step 2: Now divide 415 by 5 to get 83.
Step 3: Divide 83 by 83 to get 1.Here, 83 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1245 is: 3 × 5 × 83.
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 1245: (1, 1245), (3, 415), (5, 249), (15, 83).
- Negative factor pairs of 1245: (-1, -1245), (-3, -415), (-5, -249), (-15, -83).
Common Mistakes and How to Avoid Them in Factors of 1245
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 1245, 1 and 1245 are also factors.
Factors of 1245 Examples
Problem 1
A group of 15 people have 1245 pencils. How many pencils does each person get if divided equally?
Each person gets 83 pencils.
Explanation
To divide the pencils equally, we need to divide the total number of pencils by the number of people.
1245 ÷ 15 = 83
Problem 2
A rectangular garden has a length of 249 meters and an area of 1245 square meters. What is the width?
5 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1245 = 249 × width
To find the value of the width, we need to shift 249 to the left side.
1245 ÷ 249 = width
Width = 5.
Problem 3
A bakery has 1245 cookies and 249 boxes. How many cookies will be in each box?
Each box will have 5 cookies.
Explanation
To find the number of cookies in each box, divide the total cookies by the number of boxes.
1245 ÷ 249 = 5
Problem 4
There are 415 students in a school and 5 buses. How many students are there in each bus?
There are 83 students in each bus.
Explanation
Dividing the students by the total number of buses, we will get the number of students in each bus.
415 ÷ 5 = 83
Problem 5
1245 apples need to be packed in 3 crates. How many apples will go into each crate?
Each crate will have 415 apples.
Explanation
Divide the total apples by the number of crates.
1245 ÷ 3 = 415
FAQs on Factors of 1245
1.What are the factors of 1245?
2.Mention the prime factors of 1245.
3.Is 1245, a multiple of 5?
4.Mention the factor pairs of 1245?
5.What is the square of 1245?
Important Glossaries for Factor of 1245
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1245 are 1, 3, 5, 15, 83, 249, 415, and 1245.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 83 are prime factors of 1245.
- 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 1245 are (1, 1245), (3, 415), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1245 is 3 × 5 × 83.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1245 is a multiple of 5.
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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.
