It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 107 638 is not a prime number.
For example, 107 638 can be divided by 2: 107 638 / 2 = 53 819.
For 107 638 to be a prime number, it would have been required that 107 638 has only two divisors, i.e., itself and 1.
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107 638 is an even number, because it is evenly divisible by 2: 107 638 / 2 = 53 819.
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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 107 638 is about 328.082.
Thus, the square root of 107 638 is not an integer, and therefore 107 638 is not a square number.
The square of a number (here 107 638) is the result of the product of this number (107 638) by itself (i.e., 107 638 × 107 638); the square of 107 638 is sometimes called "raising 107 638 to the power 2", or "107 638 squared".
The square of 107 638 is 11 585 939 044 because 107 638 × 107 638 = 107 6382 = 11 585 939 044.
As a consequence, 107 638 is the square root of 11 585 939 044.
The multiples of 107 638 are all integers evenly divisible by 107 638, that is all numbers such that the remainder of the division by 107 638 is zero. There are infinitely many multiples of 107 638. The smallest multiples of 107 638 are: