101 LearnersLast updated on May 26th, 2025
Factors of 1521
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 1521, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1521?
The numbers that divide 1521 evenly are known as factors of 1521.
A factor of 1521 is a number that divides the number without remainder.
The factors of 1521 are 1, 3, 13, 39, 117, 169, 507, and 1521.
Negative factors of 1521: -1, -3, -13, -39, -117, -169, -507, and -1521.
Prime factors of 1521: 3 and 13.
Prime factorization of 1521: 32 × 132.
The sum of factors of 1521: 1 + 3 + 13 + 39 + 117 + 169 + 507 + 1521 = 2369
How to Find Factors of 1521?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1521.
Identifying the numbers which are multiplied to get the number 1521 is the multiplication method.
Step 1: Multiply 1521 by 1, 1521 × 1 = 1521.
Step 2: Check for other numbers that give 1521 after multiplying
3 × 507 = 1521
13 × 117 = 1521
39 × 39 = 1521
Therefore, the positive factor pairs of 1521 are: (1, 1521), (3, 507), (13, 117), and (39, 39).
All these factor pairs result in 1521. 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 1521 by 1, 1521 ÷ 1 = 1521.
Step 2: Continue dividing 1521 by the numbers until the remainder becomes 0.
1521 ÷ 1 = 1521
1521 ÷ 3 = 507
1521 ÷ 13 = 117
1521 ÷ 39 = 39
Therefore, the factors of 1521 are: 1, 3, 13, 39, 117, 169, 507, 1521.
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 1521 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1521 ÷ 3 = 507
507 ÷ 3 = 169
169 ÷ 13 = 13
13 ÷ 13 = 1
The prime factors of 1521 are 3 and 13.
The prime factorization of 1521 is: 32 × 132.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1521 is divided by 3 to get 507.
Step 2: Now divide 507 by 3 to get 169.
Step 3: Then divide 169 by 13 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1521 is: 32 × 132.
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 1521: (1, 1521), (3, 507), (13, 117), and (39, 39).
Negative factor pairs of 1521: (-1, -1521), (-3, -507), (-13, -117), and (-39, -39).
Common Mistakes and How to Avoid Them in Factors of 1521
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 1521, 1 and 1521 are also factors.
Factors of 1521 Examples
Problem 1
There are 13 teams and 1521 points. How will they distribute the points equally among teams?
They will get 117 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1521/13 = 117
Problem 2
A garden is rectangular, the width of the garden is 13 meters and the total area is 1521 square meters. Find the length.
117 meters.
Explanation
To find the length of the garden, we use the formula, Area = length × width
1521 = 13 × length
To find the value of length, we need to shift 13 to the left side.
1521/13 = length
Length = 117.
Problem 3
There are 3 large boxes and 1521 small items. How many items will be in each box?
Each box will have 507 items.
Explanation
To find the items in each box, divide the total items by the boxes.
1521/3 = 507
Problem 4
In a seminar, there are 1521 participants, and 39 groups. How many participants are there in each group?
There are 39 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
1521/39 = 39
Problem 5
1521 pages need to be divided into 13 folders. How many pages will go in each folder?
Each of the folders has 117 pages.
Explanation
Divide total pages by folders.
1521/13 = 117
FAQs on Factors of 1521
1.What are the factors of 1521?
2.Mention the prime factors of 1521.
3.Is 1521 a multiple of 3?
4.Mention the factor pairs of 1521?
5.What is the square of 1521?
6.How can children in Philippines use numbers in everyday life to understand Factors of 1521?
7.What are some fun ways kids in Philippines can practice Factors of 1521 with numbers?
8.What role do numbers and Factors of 1521 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 1521 skills?
Important Glossaries for Factor of 1521
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1521 are 1, 3, 13, 39, 117, 169, 507, and 1521.
- Prime factors: The factors which are prime numbers. For example, 3 and 13 are prime factors of 1521.
- 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 1521 are (1, 1521), (3, 507), etc.
- Negative factors: Factors that are negative numbers. For example, the negative factors of 1521 are -1, -3, -13, etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For instance, the prime factorization of 1521 is 32 × 132.
Explore More numbers
Previous to Factors of 1521
About BrightChamps in Philippines
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.
