Is 1441 a prime number?

The number 1441 has 4 factors, that are capable of dividing the number completely without leaving any remainder. Thus, the number 1441 is a non-prime number. The factors of 1441 include 1, 11, 131, and 1441

A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. Here, 1441 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:

1. Counting Divisors Method
2. Divisibility Test
3. Prime Number Chart
4. Prime Factorization

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 1441 would simply be:

Divisors of 1441 = 1, 11, 131, 1441
Number of divisors = 4

The number 1441 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 1441 are 1, 11, 131, 1441.

Thus, 1441 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 from 1400 to 1500 are:
1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499,

Since 1441 is not included in the list, it is not a prime number.
 

This method is only used for a non-prime number/composite number. Since 1441 is a composite number, the prime factorization for 1441 is:

Factors of 1441 = 11 × 131

Prime Number: A natural number greater than 1 that has only two distinct positive divisors: 1 and itself. Example: 2, 3, 5, and 7.

Composite Number: A natural number greater than 1 that has more than two distinct positive divisors. For example, 4, 6, 8, and 1441.

Divisibility Test: A method used to determine if one number can be divided by another without leaving a remainder. Prime numbers can only be divided evenly by 1 and the number itself.

Prime Factorization: The expression of a composite number as a product of prime numbers. Example: The prime factorization of 1441 is 11 × 131.

Divisors: The numbers that can divide a given number exactly, leaving no remainder. For 1441, the divisors are 1, 11, 131, and 1441.