Table Of Contents
126 LearnersLast updated on December 26th, 2024
Is 1537 a prime number?
Prime numbers have only 1 and the number itself as factors. They are used in digital security and in securing digital payments. The topics below will help you gain more knowledge about prime numbers and how they are categorized.
Is 1537 a prime number?
The number 1537 has 4 factors that are capable of dividing the number completely without leaving any remainder. Thus, the number 1537 is a non-prime number. The factors of 1537 include 1, 29, 53, and 1537.
Why is 1537 not a prime number?
For a number to be classified as a prime number, it must have exactly 2 factors: 1 and itself. However, 1537 has more than 2 factors, which makes it a composite number.
Below are a few methods to determine whether a number is prime or composite.
The different methods we can use to check if a number is a prime number are explained below:
- Counting Divisors Method
- Divisibility Test
- Prime Number Chart
- Prime Factorization
Using the Counting Divisors Method
In the counting divisors method, we check whether the number is divisible by any numbers other than 1 and itself.
The counting divisors method for 1537 would simply be:
Divisors of 1537 = 1, 29, 53, 1537
Number of divisors = 4
Since 1537 has more than 2 divisors, it is considered a composite number.
Using the Divisibility Method
In the divisibility method, a prime number will have only 2 divisors: 1 and itself.
The divisors of 1537 are 1, 29, 53, and 1537.
Thus, 1537 consists of 4 factors that divide it completely without any remainder, confirming it is not a prime number.
Using the Prime Number Chart
The prime number chart lists all prime numbers in a given range.
The list of prime numbers from 1500 to 1600 are:
1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597.
1537 is not present in this list, confirming that it is not a prime number.
Using the Prime Factorization
This method is used specifically for composite numbers. Since 1537 is a composite number, its prime factorization is:
Factors of 1537 = 13 × 118
Thus, 1537 is not a prime number but a composite number.
Common mistakes to avoid when determining if 1537 is a prime number
FAQ’s for “Is 1537 a prime number”
1.What is the largest prime factor of 1537?
2.What is the smallest prime factor of 1537?
3.Is 1537 a composite number?
4.How to express 1537 as a product of prime factors?
5.Represent 1537 in the prime factor tree?
6.Do any perfect squares exist in the prime factors of 1537?
7.Do any perfect cubes exist in the prime factors of 1537?
8.What can 1537 be divided by?
Glossary for "Is 1537 a Prime Number?"
Prime Number: A natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. For example, 2, 3, and 5 are prime numbers.
Composite Number: A natural number greater than 1 that has more than two distinct positive divisors. For example, 4, 6, and 8 are composite numbers.
Divisibility Test: A mathematical method used to determine whether a number can be divided evenly by another number without leaving a remainder.
Prime Factorization: The process of expressing a number as a product of its prime factors.
For example, 12 = 2 × 2 × 3.
Divisors: Numbers that divide a given number completely without leaving a remainder. For example, the divisors of 12 are 1, 2, 3, 4, 6, and 12.
Explore More numbers
Previous to Is 1537 a prime number?
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.
