It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 831 is not a prime number.
For example, 138 831 can be divided by 3: 138 831 / 3 = 46 277.
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For 138 831 to be a prime number, it would have been required that 138 831 has only two divisors, i.e., itself and 1.
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138 831 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 138 831 is about 372.600.
Thus, the square root of 138 831 is not an integer, and therefore 138 831 is not a square number.
The square of a number (here 138 831) is the result of the product of this number (138 831) by itself (i.e., 138 831 × 138 831); the square of 138 831 is sometimes called "raising 138 831 to the power 2", or "138 831 squared".
The square of 138 831 is 19 274 046 561 because 138 831 × 138 831 = 138 8312 = 19 274 046 561.
As a consequence, 138 831 is the square root of 19 274 046 561.
The multiples of 138 831 are all integers evenly divisible by 138 831, that is all numbers such that the remainder of the division by 138 831 is zero. There are infinitely many multiples of 138 831. The smallest multiples of 138 831 are: