Table Of Contents
Last updated on December 24th, 2024
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 on the prime numbers and how they are getting categorized.
The number 10011 has more than 2 factors, meaning it is capable of being divided completely by multiple numbers without leaving a remainder. Thus, the number 10011 is a non-prime number. The factors of 10011 include 1, 3, 3337, and 10011.
A number to be a prime number should follow the criteria that it should not have factors more than 2. Here, 10011 has more than 2 factors, hence making it a composite number.
Given below are a few ways that can be used to find prime or composite numbers.
The different methods we can use to check if a number is a prime number are explained below:
For the counting divisors method, it is to be checked whether the number is divisible by any numbers other than 1 and the number itself.
The counting divisors method for 10011 would simply be:
Divisors of 10011 = 1, 3, 3337, 10011
Number of divisors = 4
The number 10011 can be considered composite.
In the division test, we try to divide the number by any of the prime numbers. If we cannot, then it is considered a prime number.
In the divisibility method, the prime number only has 2 divisors, which are 1 and itself.
The divisors of 10011 are 1, 3, 3337, and 10011.
Thus, 10011 consists of 4 factors that divide it completely without any remainder.
The prime number chart is the list of prime numbers starting from 2 to infinity.
The list of prime numbers under 100 are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
10011 is not present in the list of smaller prime numbers, nor is it prime based on the divisibility test.
This method is only used for a non-prime number/composite number. Since 10011 is a composite number, the prime factorization for 10011 is:
Factors of 10011 = 3 × 3337
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.