It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 112 313 is not a prime number.
For example, 112 313 can be divided by 31: 112 313 / 31 = 3 623.
For 112 313 to be a prime number, it would have been required that 112 313 has only two divisors, i.e., itself and 1.
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112 313 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 112 313 is about 335.131.
Thus, the square root of 112 313 is not an integer, and therefore 112 313 is not a square number.
The square of a number (here 112 313) is the result of the product of this number (112 313) by itself (i.e., 112 313 × 112 313); the square of 112 313 is sometimes called "raising 112 313 to the power 2", or "112 313 squared".
The square of 112 313 is 12 614 209 969 because 112 313 × 112 313 = 112 3132 = 12 614 209 969.
As a consequence, 112 313 is the square root of 12 614 209 969.
The multiples of 112 313 are all integers evenly divisible by 112 313, that is all numbers such that the remainder of the division by 112 313 is zero. There are infinitely many multiples of 112 313. The smallest multiples of 112 313 are: