Is 475 a prime number? What are the divisors of 475?

Parity of 475

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

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Is 475 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 475 is about 21.794.

Thus, the square root of 475 is not an integer, and therefore 475 is not a square number.

What is the square number of 475?

The square of a number (here 475) is the result of the product of this number (475) by itself (i.e., 475 × 475); the square of 475 is sometimes called "raising 475 to the power 2", or "475 squared".

The square of 475 is 225 625 because 475 × 475 = 4752 = 225 625.

As a consequence, 475 is the square root of 225 625.

Number of digits of 475

475 is a number with 3 digits.

What are the multiples of 475?

The multiples of 475 are all integers evenly divisible by 475, that is all numbers such that the remainder of the division by 475 is zero. There are infinitely many multiples of 475. The smallest multiples of 475 are:

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 475). 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 21.794). 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 475

  • Preceding numbers: …473, 474
  • Following numbers: 476, 477

Nearest numbers from 475

  • Preceding prime number: 467
  • Following prime number: 479
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