It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 713 is not a prime number.
For example, 138 713 can be divided by 23: 138 713 / 23 = 6 031.
For 138 713 to be a prime number, it would have been required that 138 713 has only two divisors, i.e., itself and 1.
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138 713 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 138 713 is about 372.442.
Thus, the square root of 138 713 is not an integer, and therefore 138 713 is not a square number.
The square of a number (here 138 713) is the result of the product of this number (138 713) by itself (i.e., 138 713 × 138 713); the square of 138 713 is sometimes called "raising 138 713 to the power 2", or "138 713 squared".
The square of 138 713 is 19 241 296 369 because 138 713 × 138 713 = 138 7132 = 19 241 296 369.
As a consequence, 138 713 is the square root of 19 241 296 369.
The multiples of 138 713 are all integers evenly divisible by 138 713, that is all numbers such that the remainder of the division by 138 713 is zero. There are infinitely many multiples of 138 713. The smallest multiples of 138 713 are: