Is 141 a prime number? What are the divisors of 141?

Is 141 a prime number?

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

For 141, the answer is: No, 141 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 141) is as follows: 1, 3, 47, 141.

To be 141 a prime number, it would have been required that 141 has only two divisors, i.e., itself and 1.

As a consequence:

  • 141 is a multiple of 1
  • 141 is a multiple of 3
  • 141 is a multiple of 47

To be 141 a prime number, it would have been required that 141 has only two divisors, i.e., itself and 1.

However, 141 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 141 = 3 x 47, where 3 and 47 are both prime numbers.

Is 141 a deficient number?

Yes, 141 is a deficient number, that is to say 141 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 141 without 141 itself (that is 1 + 3 + 47 = 51).

Parity of 141

141 is an odd number, because it is not evenly divisible by 2.

Is 141 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 141 is about 11.874.

Thus, the square root of 141 is not an integer, and therefore 141 is not a square number.

What is the square number of 141?

The square of a number (here 141) is the result of the product of this number (141) by itself (i.e., 141 × 141); the square of 141 is sometimes called "raising 141 to the power 2", or "141 squared".

The square of 141 is 19 881 because 141 × 141 = 1412 = 19 881.

As a consequence, 141 is the square root of 19 881.

Number of digits of 141

141 is a number with 3 digits.

What are the multiples of 141?

The multiples of 141 are all integers evenly divisible by 141, that is all numbers such that the remainder of the division by 141 is zero. There are infinitely many multiples of 141. The smallest multiples of 141 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 141 too, since 0 × 141 = 0
  • 141: indeed, 141 is a multiple of itself, since 141 is evenly divisible by 141 (we have 141 / 141 = 1, so the remainder of this division is indeed zero)
  • 282: indeed, 282 = 141 × 2
  • 423: indeed, 423 = 141 × 3
  • 564: indeed, 564 = 141 × 4
  • 705: indeed, 705 = 141 × 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 141). 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 11.874). 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 141

  • Preceding numbers: …139, 140
  • Following numbers: 142, 143

Nearest numbers from 141

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