Is 154 a prime number? What are the divisors of 154?

Parity of 154

154 is an even number, because it is evenly divisible by 2: 154 / 2 = 77.

Find out more:

Is 154 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 154 is about 12.410.

Thus, the square root of 154 is not an integer, and therefore 154 is not a square number.

What is the square number of 154?

The square of a number (here 154) is the result of the product of this number (154) by itself (i.e., 154 × 154); the square of 154 is sometimes called "raising 154 to the power 2", or "154 squared".

The square of 154 is 23 716 because 154 × 154 = 1542 = 23 716.

As a consequence, 154 is the square root of 23 716.

Number of digits of 154

154 is a number with 3 digits.

What are the multiples of 154?

The multiples of 154 are all integers evenly divisible by 154, that is all numbers such that the remainder of the division by 154 is zero. There are infinitely many multiples of 154. The smallest multiples of 154 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 154 too, since 0 × 154 = 0
  • 154: indeed, 154 is a multiple of itself, since 154 is evenly divisible by 154 (we have 154 / 154 = 1, so the remainder of this division is indeed zero)
  • 308: indeed, 308 = 154 × 2
  • 462: indeed, 462 = 154 × 3
  • 616: indeed, 616 = 154 × 4
  • 770: indeed, 770 = 154 × 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 154). 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 12.410). 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 154

  • Preceding numbers: …152, 153
  • Following numbers: 155, 156…

Nearest numbers from 154

  • Preceding prime number: 151
  • Following prime number: 157
Find out whether some integer is a prime number