Is 195 a prime number? What are the divisors of 195?

Parity of 195

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

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Is 195 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 195 is about 13.964.

Thus, the square root of 195 is not an integer, and therefore 195 is not a square number.

What is the square number of 195?

The square of a number (here 195) is the result of the product of this number (195) by itself (i.e., 195 × 195); the square of 195 is sometimes called "raising 195 to the power 2", or "195 squared".

The square of 195 is 38 025 because 195 × 195 = 1952 = 38 025.

As a consequence, 195 is the square root of 38 025.

Number of digits of 195

195 is a number with 3 digits.

What are the multiples of 195?

The multiples of 195 are all integers evenly divisible by 195, that is all numbers such that the remainder of the division by 195 is zero. There are infinitely many multiples of 195. The smallest multiples of 195 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 195 too, since 0 × 195 = 0
  • 195: indeed, 195 is a multiple of itself, since 195 is evenly divisible by 195 (we have 195 / 195 = 1, so the remainder of this division is indeed zero)
  • 390: indeed, 390 = 195 × 2
  • 585: indeed, 585 = 195 × 3
  • 780: indeed, 780 = 195 × 4
  • 975: indeed, 975 = 195 × 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 195). 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 13.964). 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 195

  • Preceding numbers: …193, 194
  • Following numbers: 196, 197…

Nearest numbers from 195

  • Preceding prime number: 193
  • Following prime number: 197
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