Is 375 a prime number?

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

For 375, the answer is: No, 375 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 375) is as follows: 1, 3, 5, 15, 25, 75, 125, 375.

For 375 to be a prime number, it would have been required that 375 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

Actually, one can immediately see that 375 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 375 is 5, so it is divisible by 5 and is therefore not prime.

As a consequence:

375 is a multiple of 1
375 is a multiple of 3
375 is a multiple of 5
375 is a multiple of 15
375 is a multiple of 25
375 is a multiple of 75
375 is a multiple of 125

For 375 to be a prime number, it would have been required that 375 has only two divisors, i.e., itself and 1.

Is 375 a deficient number?

Yes, 375 is a deficient number, that is to say 375 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 375 without 375 itself (that is 1 + 3 + 5 + 15 + 25 + 75 + 125 = 249).

Parity of 375

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

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What is an even number?

Is 375 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 375 is about 19.365.

Thus, the square root of 375 is not an integer, and therefore 375 is not a square number.

What is the square number of 375?

The square of a number (here 375) is the result of the product of this number (375) by itself (i.e., 375 × 375); the square of 375 is sometimes called "raising 375 to the power 2", or "375 squared".

The square of 375 is 140 625 because 375 × 375 = 375² = 140 625.

As a consequence, 375 is the square root of 140 625.

Number of digits of 375

375 is a number with 3 digits.

What are the multiples of 375?

The multiples of 375 are all integers evenly divisible by 375, that is all numbers such that the remainder of the division by 375 is zero. There are infinitely many multiples of 375. The smallest multiples of 375 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 375 too, since 0 × 375 = 0
375: indeed, 375 is a multiple of itself, since 375 is evenly divisible by 375 (we have 375 / 375 = 1, so the remainder of this division is indeed zero)
750: indeed, 750 = 375 × 2
1 125: indeed, 1 125 = 375 × 3
1 500: indeed, 1 500 = 375 × 4
1 875: indeed, 1 875 = 375 × 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 375). 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 19.365). 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 375

Preceding numbers: …373, 374
Following numbers: 376, 377…

Nearest numbers from 375

Preceding prime number: 373
Following prime number: 379