Is 7507 a prime number? What are the divisors of 7507?

## Is 7507 a prime number?

Yes, 7507 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 7507, the only two divisors are 1 and 7507. Therefore 7507 is a prime number.

As a consequence, 7507 is only a multiple of 1 and 7507.

Since 7507 is a prime number, 7507 is also a deficient number, that is to say 7507 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7507 without 7507 itself (that is 1, by definition!).

## Parity of 7507

7507 is an odd number, because it is not evenly divisible by 2.

## Is 7507 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 7507 is about 86.643.

Thus, the square root of 7507 is not an integer, and therefore 7507 is not a square number.

Anyway, 7507 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7507?

The square of a number (here 7507) is the result of the product of this number (7507) by itself (i.e., 7507 × 7507); the square of 7507 is sometimes called "raising 7507 to the power 2", or "7507 squared".

The square of 7507 is 56 355 049 because 7507 × 7507 = 75072 = 56 355 049.

As a consequence, 7507 is the square root of 56 355 049.

## Number of digits of 7507

7507 is a number with 4 digits.

## What are the multiples of 7507?

The multiples of 7507 are all integers evenly divisible by 7507, that is all numbers such that the remainder of the division by 7507 is zero. There are infinitely many multiples of 7507. The smallest multiples of 7507 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7507 too, since 0 × 7507 = 0
• 7507: indeed, 7507 is a multiple of itself, since 7507 is evenly divisible by 7507 (we have 7507 / 7507 = 1, so the remainder of this division is indeed zero)
• 15 014: indeed, 15 014 = 7507 × 2
• 22 521: indeed, 22 521 = 7507 × 3
• 30 028: indeed, 30 028 = 7507 × 4
• 37 535: indeed, 37 535 = 7507 × 5
• etc.

## Nearest numbers from 7507

Find out whether some integer is a prime number