It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 413 423 is not a prime number.
For example, 413 423 can be divided by 17: 413 423 / 17 = 24 319.
For 413 423 to be a prime number, it would have been required that 413 423 has only two divisors, i.e., itself and 1.
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413 423 is an odd number, because it is not evenly divisible by 2.
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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 413 423 is about 642.980.
Thus, the square root of 413 423 is not an integer, and therefore 413 423 is not a square number.
The square of a number (here 413 423) is the result of the product of this number (413 423) by itself (i.e., 413 423 × 413 423); the square of 413 423 is sometimes called "raising 413 423 to the power 2", or "413 423 squared".
The square of 413 423 is 170 918 576 929 because 413 423 × 413 423 = 413 4232 = 170 918 576 929.
As a consequence, 413 423 is the square root of 170 918 576 929.
The multiples of 413 423 are all integers evenly divisible by 413 423, that is all numbers such that the remainder of the division by 413 423 is zero. There are infinitely many multiples of 413 423. The smallest multiples of 413 423 are: