Is 122 a prime number?

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

For 122, the answer is: No, 122 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 122) is as follows: 1, 2, 61, 122.

For 122 to be a prime number, it would have been required that 122 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

122 is a multiple of 1
122 is a multiple of 2
122 is a multiple of 61

For 122 to be a prime number, it would have been required that 122 has only two divisors, i.e., itself and 1.

However, 122 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 122 = 2 x 61, where 2 and 61 are both prime numbers.

Is 122 a deficient number?

Yes, 122 is a deficient number, that is to say 122 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 122 without 122 itself (that is 1 + 2 + 61 = 64).

Parity of 122

122 is an even number, because it is evenly divisible by 2: 122 / 2 = 61.

Find out more:

What is an even number?

Is 122 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 122 is about 11.045.

Thus, the square root of 122 is not an integer, and therefore 122 is not a square number.

What is the square number of 122?

The square of a number (here 122) is the result of the product of this number (122) by itself (i.e., 122 × 122); the square of 122 is sometimes called "raising 122 to the power 2", or "122 squared".

The square of 122 is 14 884 because 122 × 122 = 122² = 14 884.

As a consequence, 122 is the square root of 14 884.

Number of digits of 122

122 is a number with 3 digits.

What are the multiples of 122?

The multiples of 122 are all integers evenly divisible by 122, that is all numbers such that the remainder of the division by 122 is zero. There are infinitely many multiples of 122. The smallest multiples of 122 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 122 too, since 0 × 122 = 0
122: indeed, 122 is a multiple of itself, since 122 is evenly divisible by 122 (we have 122 / 122 = 1, so the remainder of this division is indeed zero)
244: indeed, 244 = 122 × 2
366: indeed, 366 = 122 × 3
488: indeed, 488 = 122 × 4
610: indeed, 610 = 122 × 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 122). 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 11.045). 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 122

Preceding numbers: …120, 121
Following numbers: 123, 124…

Nearest numbers from 122

Preceding prime number: 113
Following prime number: 127