Is 377 a prime number?

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

For 377, the answer is: No, 377 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 377) is as follows: 1, 13, 29, 377.

For 377 to be a prime number, it would have been required that 377 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

377 is a multiple of 1
377 is a multiple of 13
377 is a multiple of 29

For 377 to be a prime number, it would have been required that 377 has only two divisors, i.e., itself and 1.

However, 377 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 377 = 13 x 29, where 13 and 29 are both prime numbers.

Is 377 a deficient number?

Yes, 377 is a deficient number, that is to say 377 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 377 without 377 itself (that is 1 + 13 + 29 = 43).

Parity of 377

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

Find out more:

What is an even number?

Is 377 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 377 is about 19.416.

Thus, the square root of 377 is not an integer, and therefore 377 is not a square number.

What is the square number of 377?

The square of a number (here 377) is the result of the product of this number (377) by itself (i.e., 377 × 377); the square of 377 is sometimes called "raising 377 to the power 2", or "377 squared".

The square of 377 is 142 129 because 377 × 377 = 377² = 142 129.

As a consequence, 377 is the square root of 142 129.

Number of digits of 377

377 is a number with 3 digits.

What are the multiples of 377?

The multiples of 377 are all integers evenly divisible by 377, that is all numbers such that the remainder of the division by 377 is zero. There are infinitely many multiples of 377. The smallest multiples of 377 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 377 too, since 0 × 377 = 0
377: indeed, 377 is a multiple of itself, since 377 is evenly divisible by 377 (we have 377 / 377 = 1, so the remainder of this division is indeed zero)
754: indeed, 754 = 377 × 2
1 131: indeed, 1 131 = 377 × 3
1 508: indeed, 1 508 = 377 × 4
1 885: indeed, 1 885 = 377 × 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 377). 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 19.416). 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 377

Preceding numbers: …375, 376
Following numbers: 378, 379…

Nearest numbers from 377

Preceding prime number: 373
Following prime number: 379