It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 10 004 is not a prime number.
For example, 10 004 can be divided by 2: 10 004 / 2 = 5 002.
For 10 004 to be a prime number, it would have been required that 10 004 has only two divisors, i.e., itself and 1.
Find out more:
10 004 is an even number, because it is evenly divisible by 2: 10 004 / 2 = 5 002.
Find out more:
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 10 004 is about 100.020.
Thus, the square root of 10 004 is not an integer, and therefore 10 004 is not a square number.
The square of a number (here 10 004) is the result of the product of this number (10 004) by itself (i.e., 10 004 × 10 004); the square of 10 004 is sometimes called "raising 10 004 to the power 2", or "10 004 squared".
The square of 10 004 is 100 080 016 because 10 004 × 10 004 = 10 0042 = 100 080 016.
As a consequence, 10 004 is the square root of 100 080 016.
The multiples of 10 004 are all integers evenly divisible by 10 004, that is all numbers such that the remainder of the division by 10 004 is zero. There are infinitely many multiples of 10 004. The smallest multiples of 10 004 are: