Is 1231 a prime number? What are the divisors of 1231?

Is 1231 a prime number?

Yes, 1231 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 1231, the only two divisors are 1 and 1231. Therefore 1231 is a prime number.

As a consequence, 1231 is only a multiple of 1 and 1231.

Since 1231 is a prime number, 1231 is also a deficient number, that is to say 1231 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1231 without 1231 itself (that is 1, by definition!).

Parity of 1231

1231 is an odd number, because it is not evenly divisible by 2.

Is 1231 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 1231 is about 35.086.

Thus, the square root of 1231 is not an integer, and therefore 1231 is not a square number.

Anyway, 1231 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 1231?

The square of a number (here 1231) is the result of the product of this number (1231) by itself (i.e., 1231 × 1231); the square of 1231 is sometimes called "raising 1231 to the power 2", or "1231 squared".

The square of 1231 is 1 515 361 because 1231 × 1231 = 12312 = 1 515 361.

As a consequence, 1231 is the square root of 1 515 361.

Number of digits of 1231

1231 is a number with 4 digits.

What are the multiples of 1231?

The multiples of 1231 are all integers evenly divisible by 1231, that is all numbers such that the remainder of the division by 1231 is zero. There are infinitely many multiples of 1231. The smallest multiples of 1231 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1231 too, since 0 × 1231 = 0
  • 1231: indeed, 1231 is a multiple of itself, since 1231 is evenly divisible by 1231 (we have 1231 / 1231 = 1, so the remainder of this division is indeed zero)
  • 2 462: indeed, 2 462 = 1231 × 2
  • 3 693: indeed, 3 693 = 1231 × 3
  • 4 924: indeed, 4 924 = 1231 × 4
  • 6 155: indeed, 6 155 = 1231 × 5
  • etc.

Numbers near 1231

Nearest numbers from 1231

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