Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
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.
A marathon has 1501 participants, and each participant receives a unique number. How many numbers are needed?
1501 unique numbers are needed.
Each participant receives one unique number, so the total number of participants, 1501, indicates the number of unique numbers needed.
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.
1501 divided by 5 equals 300 with a remainder of 1, so 1 apple will be left over.
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.
1501 is an odd number, so it cannot be divided evenly into groups of 2.
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.
1501 divided by 50 equals 30 with a remainder of 1, so there are 30 full rows and 1 extra seat.
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.
: She loves to read number jokes and games.