Is 1481 a prime number? What are the divisors of 1481?

## Is 1481 a prime number?

Yes, 1481 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 1481, the only two divisors are 1 and 1481. Therefore 1481 is a prime number.

As a consequence, 1481 is only a multiple of 1 and 1481.

Since 1481 is a prime number, 1481 is also a deficient number, that is to say 1481 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1481 without 1481 itself (that is 1, by definition!).

## Parity of 1481

1481 is an odd number, because it is not evenly divisible by 2.

## Is 1481 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 1481 is about 38.484.

Thus, the square root of 1481 is not an integer, and therefore 1481 is not a square number.

Anyway, 1481 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1481?

The square of a number (here 1481) is the result of the product of this number (1481) by itself (i.e., 1481 × 1481); the square of 1481 is sometimes called "raising 1481 to the power 2", or "1481 squared".

The square of 1481 is 2 193 361 because 1481 × 1481 = 14812 = 2 193 361.

As a consequence, 1481 is the square root of 2 193 361.

## Number of digits of 1481

1481 is a number with 4 digits.

## What are the multiples of 1481?

The multiples of 1481 are all integers evenly divisible by 1481, that is all numbers such that the remainder of the division by 1481 is zero. There are infinitely many multiples of 1481. The smallest multiples of 1481 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1481 too, since 0 × 1481 = 0
• 1481: indeed, 1481 is a multiple of itself, since 1481 is evenly divisible by 1481 (we have 1481 / 1481 = 1, so the remainder of this division is indeed zero)
• 2 962: indeed, 2 962 = 1481 × 2
• 4 443: indeed, 4 443 = 1481 × 3
• 5 924: indeed, 5 924 = 1481 × 4
• 7 405: indeed, 7 405 = 1481 × 5
• etc.

## Nearest numbers from 1481

Find out whether some integer is a prime number