Is 1301 a prime number? What are the divisors of 1301?

## Is 1301 a prime number?

Yes, 1301 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 1301, the only two divisors are 1 and 1301. Therefore 1301 is a prime number.

As a consequence, 1301 is only a multiple of 1 and 1301.

Since 1301 is a prime number, 1301 is also a deficient number, that is to say 1301 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1301 without 1301 itself (that is 1, by definition!).

## Parity of 1301

1301 is an odd number, because it is not evenly divisible by 2.

## Is 1301 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 1301 is about 36.069.

Thus, the square root of 1301 is not an integer, and therefore 1301 is not a square number.

Anyway, 1301 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1301?

The square of a number (here 1301) is the result of the product of this number (1301) by itself (i.e., 1301 × 1301); the square of 1301 is sometimes called "raising 1301 to the power 2", or "1301 squared".

The square of 1301 is 1 692 601 because 1301 × 1301 = 13012 = 1 692 601.

As a consequence, 1301 is the square root of 1 692 601.

## Number of digits of 1301

1301 is a number with 4 digits.

## What are the multiples of 1301?

The multiples of 1301 are all integers evenly divisible by 1301, that is all numbers such that the remainder of the division by 1301 is zero. There are infinitely many multiples of 1301. The smallest multiples of 1301 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1301 too, since 0 × 1301 = 0
• 1301: indeed, 1301 is a multiple of itself, since 1301 is evenly divisible by 1301 (we have 1301 / 1301 = 1, so the remainder of this division is indeed zero)
• 2 602: indeed, 2 602 = 1301 × 2
• 3 903: indeed, 3 903 = 1301 × 3
• 5 204: indeed, 5 204 = 1301 × 4
• 6 505: indeed, 6 505 = 1301 × 5
• etc.

## Nearest numbers from 1301

Find out whether some integer is a prime number