It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 361 353 is not a prime number.
For example, 361 353 can be divided by 3: 361 353 / 3 = 120 451.
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For 361 353 to be a prime number, it would have been required that 361 353 has only two divisors, i.e., itself and 1.
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361 353 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 361 353 is about 601.126.
Thus, the square root of 361 353 is not an integer, and therefore 361 353 is not a square number.
The square of a number (here 361 353) is the result of the product of this number (361 353) by itself (i.e., 361 353 × 361 353); the square of 361 353 is sometimes called "raising 361 353 to the power 2", or "361 353 squared".
The square of 361 353 is 130 575 990 609 because 361 353 × 361 353 = 361 3532 = 130 575 990 609.
As a consequence, 361 353 is the square root of 130 575 990 609.
The multiples of 361 353 are all integers evenly divisible by 361 353, that is all numbers such that the remainder of the division by 361 353 is zero. There are infinitely many multiples of 361 353. The smallest multiples of 361 353 are: