Is 1021 a prime number? What are the divisors of 1021?

Is 1021 a prime number?

Yes, 1021 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 1021, the only two divisors are 1 and 1021. Therefore 1021 is a prime number.

As a consequence, 1021 is only a multiple of 1 and 1021.

Since 1021 is a prime number, 1021 is also a deficient number, that is to say 1021 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1021 without 1021 itself (that is 1, by definition!).

Parity of 1021

1021 is an odd number, because it is not evenly divisible by 2.

Is 1021 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 1021 is about 31.953.

Thus, the square root of 1021 is not an integer, and therefore 1021 is not a square number.

Anyway, 1021 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 1021?

The square of a number (here 1021) is the result of the product of this number (1021) by itself (i.e., 1021 × 1021); the square of 1021 is sometimes called "raising 1021 to the power 2", or "1021 squared".

The square of 1021 is 1 042 441 because 1021 × 1021 = 10212 = 1 042 441.

As a consequence, 1021 is the square root of 1 042 441.

Number of digits of 1021

1021 is a number with 4 digits.

What are the multiples of 1021?

The multiples of 1021 are all integers evenly divisible by 1021, that is all numbers such that the remainder of the division by 1021 is zero. There are infinitely many multiples of 1021. The smallest multiples of 1021 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1021 too, since 0 × 1021 = 0
  • 1021: indeed, 1021 is a multiple of itself, since 1021 is evenly divisible by 1021 (we have 1021 / 1021 = 1, so the remainder of this division is indeed zero)
  • 2 042: indeed, 2 042 = 1021 × 2
  • 3 063: indeed, 3 063 = 1021 × 3
  • 4 084: indeed, 4 084 = 1021 × 4
  • 5 105: indeed, 5 105 = 1021 × 5
  • etc.

Numbers near 1021

Nearest numbers from 1021

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