Is 790 a prime number? What are the divisors of 790?

Is 790 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 790, the answer is: No, 790 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 790) is as follows: 1, 2, 5, 10, 79, 158, 395, 790.

To be 790 a prime number, it would have been required that 790 has only two divisors, i.e., itself and 1.

As a consequence:

  • 790 is a multiple of 1
  • 790 is a multiple of 2
  • 790 is a multiple of 5
  • 790 is a multiple of 10
  • 790 is a multiple of 79
  • 790 is a multiple of 158
  • 790 is a multiple of 395

To be 790 a prime number, it would have been required that 790 has only two divisors, i.e., itself and 1.

Is 790 a deficient number?

Yes, 790 is a deficient number, that is to say 790 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 790 without 790 itself (that is 1 + 2 + 5 + 10 + 79 + 158 + 395 = 650).

Parity of 790

790 is an even number, because it is evenly divisible by 2: 790 / 2 = 395.

Is 790 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 790 is about 28.107.

Thus, the square root of 790 is not an integer, and therefore 790 is not a square number.

What is the square number of 790?

The square of a number (here 790) is the result of the product of this number (790) by itself (i.e., 790 × 790); the square of 790 is sometimes called "raising 790 to the power 2", or "790 squared".

The square of 790 is 624 100 because 790 × 790 = 7902 = 624 100.

As a consequence, 790 is the square root of 624 100.

Number of digits of 790

790 is a number with 3 digits.

What are the multiples of 790?

The multiples of 790 are all integers evenly divisible by 790, that is all numbers such that the remainder of the division by 790 is zero. There are infinitely many multiples of 790. The smallest multiples of 790 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 790 too, since 0 × 790 = 0
  • 790: indeed, 790 is a multiple of itself, since 790 is evenly divisible by 790 (we have 790 / 790 = 1, so the remainder of this division is indeed zero)
  • 1 580: indeed, 1 580 = 790 × 2
  • 2 370: indeed, 2 370 = 790 × 3
  • 3 160: indeed, 3 160 = 790 × 4
  • 3 950: indeed, 3 950 = 790 × 5
  • etc.

How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 790). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 28.107). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

Numbers near 790

  • Preceding numbers: …788, 789
  • Following numbers: 791, 792

Nearest numbers from 790

  • Preceding prime number: 787
  • Following prime number: 797
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