Is 140 a prime number? What are the divisors of 140?

## Parity of 140

140 is an even number, because it is evenly divisible by 2: 140 / 2 = 70.

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## Is 140 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 140 is about 11.832.

Thus, the square root of 140 is not an integer, and therefore 140 is not a square number.

## What is the square number of 140?

The square of a number (here 140) is the result of the product of this number (140) by itself (i.e., 140 × 140); the square of 140 is sometimes called "raising 140 to the power 2", or "140 squared".

The square of 140 is 19 600 because 140 × 140 = 1402 = 19 600.

As a consequence, 140 is the square root of 19 600.

## Number of digits of 140

140 is a number with 3 digits.

## What are the multiples of 140?

The multiples of 140 are all integers evenly divisible by 140, that is all numbers such that the remainder of the division by 140 is zero. There are infinitely many multiples of 140. The smallest multiples of 140 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 140 too, since 0 × 140 = 0
• 140: indeed, 140 is a multiple of itself, since 140 is evenly divisible by 140 (we have 140 / 140 = 1, so the remainder of this division is indeed zero)
• 280: indeed, 280 = 140 × 2
• 420: indeed, 420 = 140 × 3
• 560: indeed, 560 = 140 × 4
• 700: indeed, 700 = 140 × 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 140). 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 11.832). 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 140

• Preceding numbers: …138, 139
• Following numbers: 141, 142

### Nearest numbers from 140

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