Is 119 a prime number?

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

For 119, the answer is: No, 119 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 119) is as follows: 1, 7, 17, 119.

For 119 to be a prime number, it would have been required that 119 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

119 is a multiple of 1
119 is a multiple of 7
119 is a multiple of 17

For 119 to be a prime number, it would have been required that 119 has only two divisors, i.e., itself and 1.

However, 119 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 119 = 7 x 17, where 7 and 17 are both prime numbers.

Is 119 a deficient number?

Yes, 119 is a deficient number, that is to say 119 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 119 without 119 itself (that is 1 + 7 + 17 = 25).

Parity of 119

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

Find out more:

What is an even number?

Is 119 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 119 is about 10.909.

Thus, the square root of 119 is not an integer, and therefore 119 is not a square number.

What is the square number of 119?

The square of a number (here 119) is the result of the product of this number (119) by itself (i.e., 119 × 119); the square of 119 is sometimes called "raising 119 to the power 2", or "119 squared".

The square of 119 is 14 161 because 119 × 119 = 119² = 14 161.

As a consequence, 119 is the square root of 14 161.

Number of digits of 119

119 is a number with 3 digits.

What are the multiples of 119?

The multiples of 119 are all integers evenly divisible by 119, that is all numbers such that the remainder of the division by 119 is zero. There are infinitely many multiples of 119. The smallest multiples of 119 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 119 too, since 0 × 119 = 0
119: indeed, 119 is a multiple of itself, since 119 is evenly divisible by 119 (we have 119 / 119 = 1, so the remainder of this division is indeed zero)
238: indeed, 238 = 119 × 2
357: indeed, 357 = 119 × 3
476: indeed, 476 = 119 × 4
595: indeed, 595 = 119 × 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 119). 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 10.909). 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 119

Preceding numbers: …117, 118
Following numbers: 120, 121…

Nearest numbers from 119

Preceding prime number: 113
Following prime number: 127