Is 1493 a prime number? What are the divisors of 1493?

## Is 1493 a prime number?

Yes, 1493 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 1493, the only two divisors are 1 and 1493. Therefore 1493 is a prime number.

As a consequence, 1493 is only a multiple of 1 and 1493.

Since 1493 is a prime number, 1493 is also a deficient number, that is to say 1493 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1493 without 1493 itself (that is 1, by definition!).

## Parity of 1493

1493 is an odd number, because it is not evenly divisible by 2.

## Is 1493 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 1493 is about 38.639.

Thus, the square root of 1493 is not an integer, and therefore 1493 is not a square number.

Anyway, 1493 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1493?

The square of a number (here 1493) is the result of the product of this number (1493) by itself (i.e., 1493 × 1493); the square of 1493 is sometimes called "raising 1493 to the power 2", or "1493 squared".

The square of 1493 is 2 229 049 because 1493 × 1493 = 14932 = 2 229 049.

As a consequence, 1493 is the square root of 2 229 049.

## Number of digits of 1493

1493 is a number with 4 digits.

## What are the multiples of 1493?

The multiples of 1493 are all integers evenly divisible by 1493, that is all numbers such that the remainder of the division by 1493 is zero. There are infinitely many multiples of 1493. The smallest multiples of 1493 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1493 too, since 0 × 1493 = 0
• 1493: indeed, 1493 is a multiple of itself, since 1493 is evenly divisible by 1493 (we have 1493 / 1493 = 1, so the remainder of this division is indeed zero)
• 2 986: indeed, 2 986 = 1493 × 2
• 4 479: indeed, 4 479 = 1493 × 3
• 5 972: indeed, 5 972 = 1493 × 4
• 7 465: indeed, 7 465 = 1493 × 5
• etc.

## Nearest numbers from 1493

Find out whether some integer is a prime number