It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 37 888 is not a prime number.
For example, 37 888 can be divided by 2: 37 888 / 2 = 18 944.
For 37 888 to be a prime number, it would have been required that 37 888 has only two divisors, i.e., itself and 1.
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37 888 is an even number, because it is evenly divisible by 2: 37 888 / 2 = 18 944.
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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 37 888 is about 194.648.
Thus, the square root of 37 888 is not an integer, and therefore 37 888 is not a square number.
The square of a number (here 37 888) is the result of the product of this number (37 888) by itself (i.e., 37 888 × 37 888); the square of 37 888 is sometimes called "raising 37 888 to the power 2", or "37 888 squared".
The square of 37 888 is 1 435 500 544 because 37 888 × 37 888 = 37 8882 = 1 435 500 544.
As a consequence, 37 888 is the square root of 1 435 500 544.
The multiples of 37 888 are all integers evenly divisible by 37 888, that is all numbers such that the remainder of the division by 37 888 is zero. There are infinitely many multiples of 37 888. The smallest multiples of 37 888 are: