Is 170 a prime number? What are the divisors of 170?

Parity of 170

170 is an even number, because it is evenly divisible by 2: 170 / 2 = 85.

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Is 170 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 170 is about 13.038.

Thus, the square root of 170 is not an integer, and therefore 170 is not a square number.

What is the square number of 170?

The square of a number (here 170) is the result of the product of this number (170) by itself (i.e., 170 × 170); the square of 170 is sometimes called "raising 170 to the power 2", or "170 squared".

The square of 170 is 28 900 because 170 × 170 = 1702 = 28 900.

As a consequence, 170 is the square root of 28 900.

Number of digits of 170

170 is a number with 3 digits.

What are the multiples of 170?

The multiples of 170 are all integers evenly divisible by 170, that is all numbers such that the remainder of the division by 170 is zero. There are infinitely many multiples of 170. The smallest multiples of 170 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 170 too, since 0 × 170 = 0
  • 170: indeed, 170 is a multiple of itself, since 170 is evenly divisible by 170 (we have 170 / 170 = 1, so the remainder of this division is indeed zero)
  • 340: indeed, 340 = 170 × 2
  • 510: indeed, 510 = 170 × 3
  • 680: indeed, 680 = 170 × 4
  • 850: indeed, 850 = 170 × 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 170). 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 13.038). 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 170

  • Preceding numbers: …168, 169
  • Following numbers: 171, 172…

Nearest numbers from 170

  • Preceding prime number: 167
  • Following prime number: 173
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