Is 148 a prime number? What are the divisors of 148?

## Parity of 148

148 is an even number, because it is evenly divisible by 2: 148 / 2 = 74.

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## Is 148 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 148 is about 12.166.

Thus, the square root of 148 is not an integer, and therefore 148 is not a square number.

## What is the square number of 148?

The square of a number (here 148) is the result of the product of this number (148) by itself (i.e., 148 × 148); the square of 148 is sometimes called "raising 148 to the power 2", or "148 squared".

The square of 148 is 21 904 because 148 × 148 = 1482 = 21 904.

As a consequence, 148 is the square root of 21 904.

## Number of digits of 148

148 is a number with 3 digits.

## What are the multiples of 148?

The multiples of 148 are all integers evenly divisible by 148, that is all numbers such that the remainder of the division by 148 is zero. There are infinitely many multiples of 148. The smallest multiples of 148 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 148 too, since 0 × 148 = 0
• 148: indeed, 148 is a multiple of itself, since 148 is evenly divisible by 148 (we have 148 / 148 = 1, so the remainder of this division is indeed zero)
• 296: indeed, 296 = 148 × 2
• 444: indeed, 444 = 148 × 3
• 592: indeed, 592 = 148 × 4
• 740: indeed, 740 = 148 × 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 148). 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 12.166). 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 148

• Preceding numbers: …146, 147
• Following numbers: 149, 150

### Nearest numbers from 148

• Preceding prime number: 139
• Following prime number: 149
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