Is 7001 a prime number? What are the divisors of 7001?

## Is 7001 a prime number?

Yes, 7001 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 7001, the only two divisors are 1 and 7001. Therefore 7001 is a prime number.

As a consequence, 7001 is only a multiple of 1 and 7001.

Since 7001 is a prime number, 7001 is also a deficient number, that is to say 7001 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7001 without 7001 itself (that is 1, by definition!).

## Parity of 7001

7001 is an odd number, because it is not evenly divisible by 2.

## Is 7001 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 7001 is about 83.672.

Thus, the square root of 7001 is not an integer, and therefore 7001 is not a square number.

Anyway, 7001 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7001?

The square of a number (here 7001) is the result of the product of this number (7001) by itself (i.e., 7001 × 7001); the square of 7001 is sometimes called "raising 7001 to the power 2", or "7001 squared".

The square of 7001 is 49 014 001 because 7001 × 7001 = 70012 = 49 014 001.

As a consequence, 7001 is the square root of 49 014 001.

## Number of digits of 7001

7001 is a number with 4 digits.

## What are the multiples of 7001?

The multiples of 7001 are all integers evenly divisible by 7001, that is all numbers such that the remainder of the division by 7001 is zero. There are infinitely many multiples of 7001. The smallest multiples of 7001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7001 too, since 0 × 7001 = 0
• 7001: indeed, 7001 is a multiple of itself, since 7001 is evenly divisible by 7001 (we have 7001 / 7001 = 1, so the remainder of this division is indeed zero)
• 14 002: indeed, 14 002 = 7001 × 2
• 21 003: indeed, 21 003 = 7001 × 3
• 28 004: indeed, 28 004 = 7001 × 4
• 35 005: indeed, 35 005 = 7001 × 5
• etc.

## Nearest numbers from 7001

Find out whether some integer is a prime number