116 LearnersLast updated on June 10th, 2025
Factors of 1501
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 1501, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1501?
The numbers that divide 1501 evenly are known as factors of 1501.
A factor of 1501 is a number that divides the number without remainder.
The factors of 1501 are 1 and 1501.
Negative factors of 1501: -1 and -1501.
Prime factors of 1501: 1501 itself, as it is a prime number.
The sum of factors of 1501: 1 + 1501 = 1502
How to Find Factors of 1501?
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 1501. Since 1501 is a prime number, the only multiplication that results in 1501 is:
Step 1: Multiply 1501 by 1, 1501 × 1 = 1501.
Therefore, the positive factor pair of 1501 is: (1, 1501).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 1501 by 1, 1501 ÷ 1 = 1501.
Step 2: Continue dividing 1501 by numbers greater than 1.
Since 1501 is a prime number, it is only divisible by 1 and itself.
Therefore, the factors of 1501 are: 1 and 1501.
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 a factor tree
Using Prime Factorization: In this process, since 1501 is a prime number, it cannot be broken down further into prime factors.
Therefore, the prime factorization of 1501 is 1501 itself.
Factor Tree
A factor tree is the graphical representation of breaking down any number into prime factors. However, since 1501 is a prime number, it does not have a factor tree other than itself. Therefore, 1501 is expressed as 1501 × 1.
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 pair of 1501: (1, 1501).
Negative factor pair of 1501: (-1, -1501).
Common Mistakes and How to Avoid Them in Factors of 1501
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 1501, 1 and 1501 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 1501 consist of -1 and -1501.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1501/1.5 = 1000.666, 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 1501 are prime numbers.
For example, 1501 is a prime factor of itself, but it has another factor like 1.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not recognizing 1501 as a prime number and trying to break it down further incorrectly.
Factors of 1501 Examples
Problem 1
A library has 1501 books, and they need to be divided equally among 3 shelves. How many books will each shelf have?
Since 1501 is a prime number, it can't be divided equally among 3 shelves.
Explanation
To divide the books equally, the number of books must be divisible by the number of shelves. 1501 is not divisible by 3, as it is a prime number.
Problem 2
A marathon has 1501 participants, and each participant receives a unique number. How many numbers are needed?
1501 unique numbers are needed.
Explanation
Each participant receives one unique number, so the total number of participants, 1501, indicates the number of unique numbers needed.
Problem 3
There are 1501 apples. If you divide them into groups of 5, how many apples will be left over?
1 apple will be left over.
Explanation
1501 divided by 5 equals 300 with a remainder of 1, so 1 apple will be left over.
Problem 4
A school has 1501 students, and they want to form groups with equal numbers without any students left out. Can they form groups of 2?
No, they cannot form groups of 2 without any students left out.
Explanation
1501 is an odd number, so it cannot be divided evenly into groups of 2.
Problem 5
If a theater has 1501 seats and each row has 50 seats, how many rows are there, and are there any extra seats?
There are 30 rows, and there is 1 extra seat.
Explanation
1501 divided by 50 equals 30 with a remainder of 1, so there are 30 full rows and 1 extra seat.
FAQs on Factors of 1501
1.What are the factors of 1501?
2.Mention the prime factors of 1501.
3.Is 1501 a multiple of 4?
4.Mention the factor pairs of 1501?
5.What is the square of 1501?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1501?
7.What are some fun ways kids in Qatar can practice Factors of 1501 with numbers?
8.What role do numbers and Factors of 1501 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1501 skills?
Important Glossaries for Factor of 1501
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1501 are 1 and 1501.
- Prime factors: The factors that are prime numbers. For 1501, it is a prime number itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1501 is (1, 1501).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 1501 is a prime number.
- Remainder: The amount left over after division when one number does not divide the other exactly. For instance, dividing 1501 by 5 leaves a remainder of 1.
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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.
