101 LearnersLast updated on May 26th, 2025
Factors of 1507
Factors are the numbers that divide any given number evenly without a 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 1507, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1507?
The numbers that divide 1507 evenly are known as factors of 1507.
A factor of 1507 is a number that divides the number without a remainder.
The factors of 1507 are 1, 19, 79, and 1507.
Negative factors of 1507: -1, -19, -79, and -1507.
Prime factors of 1507: 19 and 79.
Prime factorization of 1507: 19 × 79.
The sum of factors of 1507: 1 + 19 + 79 + 1507 = 1606
How to Find Factors of 1507?
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 1507. Identifying the numbers which are multiplied to get the number 1507 is the multiplication method.
Step 1: Multiply 1507 by 1, 1507 × 1 = 1507.
Step 2: Check for other numbers that give 1507 after multiplying
19 × 79 = 1507
Therefore, the positive factor pairs of 1507 are: (1, 1507) and (19, 79).
All these factor pairs result in 1507.
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 1507 by 1, 1507 ÷ 1 = 1507.
Step 2: Continue dividing 1507 by the numbers until the remainder becomes 0.
1507 ÷ 1 = 1507
1507 ÷ 19 = 79
1507 ÷ 79 = 19
Therefore, the factors of 1507 are: 1, 19, 79, 1507.
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 the factor tree
Using Prime Factorization: In this process, prime factors of 1507 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1507 ÷ 19 = 79
79 ÷ 79 = 1
The prime factors of 1507 are 19 and 79.
The prime factorization of 1507 is: 19 × 79.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1507 is divided by 19 to get 79.
Step 2: Now divide 79 by 79 to get 1. Here, both 19 and 79 are the smallest prime numbers, that cannot be divided anymore. So, the prime factorization of 1507 is: 19 × 79.
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 1507: (1, 1507), (19, 79).
Negative factor pairs of 1507: (-1, -1507), (-19, -79).
Common Mistakes and How to Avoid Them in Factors of 1507
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 1507, 1 and 1507 are also factors.
Factors of 1507 Examples
Problem 1
There are 19 students and 1507 marbles. How will they divide it equally?
They will get 79 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of students.
1507/19 = 79
Problem 2
A rectangular garden has a length of 79 meters and a total area of 1507 square meters. Find the width.
19 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1507 = 79 × width
To find the value of width, we need to shift 79 to the left side.
1507/79 = width
Width = 19.
Problem 3
There are 79 boxes and 1507 items. How many items will be in each box?
Each box will have 19 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
1507/79 = 19
Problem 4
In a class, there are 1507 pencils and 19 groups. How many pencils are there in each group?
There are 79 pencils in each group.
Explanation
Dividing the pencils by the total groups, we will get the number of pencils in each group.
1507/19 = 79
Problem 5
1507 pages need to be distributed in 79 notebooks. How many pages will go in each notebook?
Each notebook will have 19 pages.
Explanation
Divide the total pages by the number of notebooks.
1507/79 = 19
FAQs on Factors of 1507
1.What are the factors of 1507?
2.Mention the prime factors of 1507.
3.Is 1507 a multiple of 19?
4.Mention the factor pairs of 1507?
5.What is the square of 1507?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1507?
7.What are some fun ways kids in Qatar can practice Factors of 1507 with numbers?
8.What role do numbers and Factors of 1507 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1507 skills?
Important Glossaries for Factor of 1507
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1507 are 1, 19, 79, and 1507.
- Prime factors: The factors which are prime numbers. For example, 19 and 79 are prime factors of 1507.
- 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 1507 are (1, 1507) and (19, 79).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, 1507 = 19 × 79.
- Multiples: Numbers that can be divided by another number without leaving a remainder. For example, 1507 is a multiple of 19 and 79.
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About BrightChamps in Qatar
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.
