117 LearnersLast updated on May 26th, 2025
Factors of 1513
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 1513, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1513?
The numbers that divide 1513 evenly are known as factors of 1513.
A factor of 1513 is a number that divides the number without remainder.
The factors of 1513 are 1, 37, 41, and 1513.
Negative factors of 1513: -1, -37, -41, and -1513.
Prime factors of 1513: 37 and 41.
Prime factorization of 1513: 37 × 41.
The sum of factors of 1513: 1 + 37 + 41 + 1513 = 1592
How to Find Factors of 1513?
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 1513. Identifying the numbers which are multiplied to get the number 1513 is the multiplication method.
Step 1: Multiply 1513 by 1, 1513 × 1 = 1513.
Step 2: Check for other numbers that give 1513 after multiplying
37 × 41 = 1513
Therefore, the positive factor pairs of 1513 are: (1, 1513) and (37, 41). All these factor pairs result in 1513.
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 the simple division method
Step 1: Divide 1513 by 1, 1513 ÷ 1 = 1513.
Step 2: Continue dividing 1513 by the numbers until the remainder becomes 0.
1513 ÷ 1 = 1513
1513 ÷ 37 = 41
1513 ÷ 41 = 37
Therefore, the factors of 1513 are: 1, 37, 41, and 1513.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 1513 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1513 ÷ 37 = 41
41 ÷ 41 = 1
The prime factors of 1513 are 37 and 41.
The prime factorization of 1513 is: 37 × 41.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1513 is divided by 37 to get 41.
Step 2: Now divide 41 by 41 to get 1. Here, 41 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1513 is: 37 × 41.
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 1513: (1, 1513) and (37, 41).
Negative factor pairs of 1513: (-1, -1513) and (-37, -41).
Common Mistakes and How to Avoid Them in Factors of 1513
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 1513, 1 and 1513 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 1513 consist of -1, -37, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1513/1.5 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 1513 are prime numbers. For example, 37 and 41 are the prime factors of 1513, but it has other factors like 1 and 1513.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1513 as 37 × 41 and missing all the key factors.
Factors of 1513 Examples
Problem 1
There are 37 friends and 1513 candies. How will they divide it equally?
They will get 41 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1513/37 = 41
Problem 2
A field is rectangular, the length of the field is 41 meters and the total area is 1513 square meters. Find the width?
37 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width
1513 = 41 × width
To find the value of width, we need to shift 41 to the left side.
1513/41 = width
Width = 37.
Problem 3
There are 1513 apples and 1513 baskets. How many apples will be in each basket?
Each basket will have 1 apple.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
1513/1513 = 1
Problem 4
In a class, there are 1513 students, and 1 group. How many students are there in each group?
There are 1513 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1513/1 = 1513
Problem 5
1513 books need to be arranged in 37 shelves. How many books will go on each shelf?
Each of the shelves has 41 books.
Explanation
Divide total books by shelves.
1513/37 = 41
FAQs on Factors of 1513
1.What are the factors of 1513?
2.Mention the prime factors of 1513.
3.Is 1513 a multiple of 41?
4.Mention the factor pairs of 1513?
5.What is the square of 1513?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1513?
7.What are some fun ways kids in Thailand can practice Factors of 1513 with numbers?
8.What role do numbers and Factors of 1513 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1513 skills?
Important Glossaries for Factor of 1513
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1513 are 1, 37, 41, and 1513.
- Prime factors: The factors which are prime numbers. For example, 37 and 41 are prime factors of 1513.
- 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 1513 are (1, 1513) and (37, 41).
- Prime factorization: The process of expressing a number as a product of its prime factors. The prime factorization of 1513 is 37 × 41.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the target number. For example, 37 × 41 = 1513.
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About BrightChamps in Thailand
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.
