Is 925 a prime number?

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

For 925, the answer is: No, 925 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 925) is as follows: 1, 5, 25, 37, 185, 925.

For 925 to be a prime number, it would have been required that 925 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

Actually, one can immediately see that 925 cannot be prime, because 5 is one of its divisors: indeed, a number ending with 0 or 5 has necessarily 5 among its divisors. The last digit of 925 is 5, so it is divisible by 5 and is therefore not prime.

As a consequence:

925 is a multiple of 1
925 is a multiple of 5
925 is a multiple of 25
925 is a multiple of 37
925 is a multiple of 185

For 925 to be a prime number, it would have been required that 925 has only two divisors, i.e., itself and 1.

Is 925 a deficient number?

Yes, 925 is a deficient number, that is to say 925 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 925 without 925 itself (that is 1 + 5 + 25 + 37 + 185 = 253).

Parity of 925

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

Find out more:

What is an even number?

Is 925 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 925 is about 30.414.

Thus, the square root of 925 is not an integer, and therefore 925 is not a square number.

What is the square number of 925?

The square of a number (here 925) is the result of the product of this number (925) by itself (i.e., 925 × 925); the square of 925 is sometimes called "raising 925 to the power 2", or "925 squared".

The square of 925 is 855 625 because 925 × 925 = 925² = 855 625.

As a consequence, 925 is the square root of 855 625.

Number of digits of 925

925 is a number with 3 digits.

What are the multiples of 925?

The multiples of 925 are all integers evenly divisible by 925, that is all numbers such that the remainder of the division by 925 is zero. There are infinitely many multiples of 925. The smallest multiples of 925 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 925 too, since 0 × 925 = 0
925: indeed, 925 is a multiple of itself, since 925 is evenly divisible by 925 (we have 925 / 925 = 1, so the remainder of this division is indeed zero)
1 850: indeed, 1 850 = 925 × 2
2 775: indeed, 2 775 = 925 × 3
3 700: indeed, 3 700 = 925 × 4
4 625: indeed, 4 625 = 925 × 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 925). 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 30.414). 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 925

Preceding numbers: …923, 924
Following numbers: 926, 927…

Nearest numbers from 925

Preceding prime number: 919
Following prime number: 929