It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 402 201 is not a prime number.
For example, 402 201 can be divided by 3: 402 201 / 3 = 134 067.
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For 402 201 to be a prime number, it would have been required that 402 201 has only two divisors, i.e., itself and 1.
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402 201 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 402 201 is about 634.193.
Thus, the square root of 402 201 is not an integer, and therefore 402 201 is not a square number.
The square of a number (here 402 201) is the result of the product of this number (402 201) by itself (i.e., 402 201 × 402 201); the square of 402 201 is sometimes called "raising 402 201 to the power 2", or "402 201 squared".
The square of 402 201 is 161 765 644 401 because 402 201 × 402 201 = 402 2012 = 161 765 644 401.
As a consequence, 402 201 is the square root of 161 765 644 401.
The multiples of 402 201 are all integers evenly divisible by 402 201, that is all numbers such that the remainder of the division by 402 201 is zero. There are infinitely many multiples of 402 201. The smallest multiples of 402 201 are: