It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 412 429 is not a prime number.
For example, 412 429 can be divided by 229: 412 429 / 229 = 1 801.
For 412 429 to be a prime number, it would have been required that 412 429 has only two divisors, i.e., itself and 1.
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412 429 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 412 429 is about 642.206.
Thus, the square root of 412 429 is not an integer, and therefore 412 429 is not a square number.
The square of a number (here 412 429) is the result of the product of this number (412 429) by itself (i.e., 412 429 × 412 429); the square of 412 429 is sometimes called "raising 412 429 to the power 2", or "412 429 squared".
The square of 412 429 is 170 097 680 041 because 412 429 × 412 429 = 412 4292 = 170 097 680 041.
As a consequence, 412 429 is the square root of 170 097 680 041.
The multiples of 412 429 are all integers evenly divisible by 412 429, that is all numbers such that the remainder of the division by 412 429 is zero. There are infinitely many multiples of 412 429. The smallest multiples of 412 429 are: