It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 413 131 is not a prime number.
For example, 413 131 can be divided by 127: 413 131 / 127 = 3 253.
For 413 131 to be a prime number, it would have been required that 413 131 has only two divisors, i.e., itself and 1.
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413 131 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 413 131 is about 642.753.
Thus, the square root of 413 131 is not an integer, and therefore 413 131 is not a square number.
The square of a number (here 413 131) is the result of the product of this number (413 131) by itself (i.e., 413 131 × 413 131); the square of 413 131 is sometimes called "raising 413 131 to the power 2", or "413 131 squared".
The square of 413 131 is 170 677 223 161 because 413 131 × 413 131 = 413 1312 = 170 677 223 161.
As a consequence, 413 131 is the square root of 170 677 223 161.
The multiples of 413 131 are all integers evenly divisible by 413 131, that is all numbers such that the remainder of the division by 413 131 is zero. There are infinitely many multiples of 413 131. The smallest multiples of 413 131 are: