It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 10 404 is not a prime number.
For example, 10 404 can be divided by 2: 10 404 / 2 = 5 202.
For 10 404 to be a prime number, it would have been required that 10 404 has only two divisors, i.e., itself and 1.
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10 404 is an even number, because it is evenly divisible by 2: 10 404 / 2 = 5 202.
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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 10 404 is 102.
Therefore, the square root of 10 404 is an integer, and as a consequence 10 404 is a perfect square.
The square of a number (here 10 404) is the result of the product of this number (10 404) by itself (i.e., 10 404 × 10 404); the square of 10 404 is sometimes called "raising 10 404 to the power 2", or "10 404 squared".
The square of 10 404 is 108 243 216 because 10 404 × 10 404 = 10 4042 = 108 243 216.
As a consequence, 10 404 is the square root of 108 243 216.
The multiples of 10 404 are all integers evenly divisible by 10 404, that is all numbers such that the remainder of the division by 10 404 is zero. There are infinitely many multiples of 10 404. The smallest multiples of 10 404 are: