Is 196 a prime number? What are the divisors of 196?

Parity of 196

196 is an even number, because it is evenly divisible by 2: 196 / 2 = 98.

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Is 196 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 196 is 14.

Therefore, the square root of 196 is an integer, and as a consequence 196 is a perfect square.

As a consequence, 14 is the square root of 196.

What is the square number of 196?

The square of a number (here 196) is the result of the product of this number (196) by itself (i.e., 196 × 196); the square of 196 is sometimes called "raising 196 to the power 2", or "196 squared".

The square of 196 is 38 416 because 196 × 196 = 1962 = 38 416.

As a consequence, 196 is the square root of 38 416.

Number of digits of 196

196 is a number with 3 digits.

What are the multiples of 196?

The multiples of 196 are all integers evenly divisible by 196, that is all numbers such that the remainder of the division by 196 is zero. There are infinitely many multiples of 196. The smallest multiples of 196 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 196 too, since 0 × 196 = 0
  • 196: indeed, 196 is a multiple of itself, since 196 is evenly divisible by 196 (we have 196 / 196 = 1, so the remainder of this division is indeed zero)
  • 392: indeed, 392 = 196 × 2
  • 588: indeed, 588 = 196 × 3
  • 784: indeed, 784 = 196 × 4
  • 980: indeed, 980 = 196 × 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 196). 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 14). 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 196

  • Preceding numbers: …194, 195
  • Following numbers: 197, 198…

Nearest numbers from 196

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