It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 42 313 is not a prime number.
For example, 42 313 can be divided by 17: 42 313 / 17 = 2 489.
For 42 313 to be a prime number, it would have been required that 42 313 has only two divisors, i.e., itself and 1.
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42 313 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 42 313 is about 205.701.
Thus, the square root of 42 313 is not an integer, and therefore 42 313 is not a square number.
The square of a number (here 42 313) is the result of the product of this number (42 313) by itself (i.e., 42 313 × 42 313); the square of 42 313 is sometimes called "raising 42 313 to the power 2", or "42 313 squared".
The square of 42 313 is 1 790 389 969 because 42 313 × 42 313 = 42 3132 = 1 790 389 969.
As a consequence, 42 313 is the square root of 1 790 389 969.
The multiples of 42 313 are all integers evenly divisible by 42 313, that is all numbers such that the remainder of the division by 42 313 is zero. There are infinitely many multiples of 42 313. The smallest multiples of 42 313 are: