Is 1573 a prime number?

The number 1573 has got 4 factors that are capable of dividing the number completely without leaving any remainder. Thus, the number 1573 is a non-prime number. The factors of 1573 include 1, 11, 13, 121, 143 and 1573.

A number to be a prime number should follow the criteria that it should not have factors more than 2. Here, 1573 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 1573 would simply be:

Divisors of 1573 = 1, 11, 13, 121, 143, 1573.
Number of divisors = 6

The number 1573 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 1573 are 1, 11, 13, 121, 143 and 1573.

Thus, 1573 consists of 6 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:
1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597,1601,1607,1609,1613,1619,1621,1627,1637,1657,1663,1667,1669,1693,1697,1699

1573 is not present in the list, it is not a prime number.

This method is only used for a non-prime number/composite number. Since 1573 is a composite number, the prime factorization for 1573 is:

Factors of 1573 = 11 × 11 × 13

Prime Number: A natural number greater than 1 that has no divisors other than 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 divisors. For example, 4, 6, and 8 are composite numbers, as they have divisors other than 1 and the number itself.

Divisibility: The ability of one number to be divided by another without leaving a remainder. For example, 1573 is divisible by 11 and 13.

Prime Factorization: Breaking down a composite number into the product of prime numbers. The prime factorization of 1573 is 11 × 11 × 13.

Divisors: Numbers that can divide another number without leaving a remainder. The divisors of 1573 are 1, 11, 13, 121, 143 and 1573.