Is 124 a prime number? What are the divisors of 124?

## Parity of 124

124 is an even number, because it is evenly divisible by 2: 124 / 2 = 62.

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## Is 124 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 124 is about 11.136.

Thus, the square root of 124 is not an integer, and therefore 124 is not a square number.

## What is the square number of 124?

The square of a number (here 124) is the result of the product of this number (124) by itself (i.e., 124 × 124); the square of 124 is sometimes called "raising 124 to the power 2", or "124 squared".

The square of 124 is 15 376 because 124 × 124 = 1242 = 15 376.

As a consequence, 124 is the square root of 15 376.

## Number of digits of 124

124 is a number with 3 digits.

## What are the multiples of 124?

The multiples of 124 are all integers evenly divisible by 124, that is all numbers such that the remainder of the division by 124 is zero. There are infinitely many multiples of 124. The smallest multiples of 124 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 124 too, since 0 × 124 = 0
• 124: indeed, 124 is a multiple of itself, since 124 is evenly divisible by 124 (we have 124 / 124 = 1, so the remainder of this division is indeed zero)
• 248: indeed, 248 = 124 × 2
• 372: indeed, 372 = 124 × 3
• 496: indeed, 496 = 124 × 4
• 620: indeed, 620 = 124 × 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 124). 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 11.136). 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 124

• Preceding numbers: …122, 123
• Following numbers: 125, 126

### Nearest numbers from 124

• Preceding prime number: 113
• Following prime number: 127
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