It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 733 is not a prime number.
For example, 138 733 can be divided by 7: 138 733 / 7 = 19 819.
For 138 733 to be a prime number, it would have been required that 138 733 has only two divisors, i.e., itself and 1.
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138 733 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 138 733 is about 372.469.
Thus, the square root of 138 733 is not an integer, and therefore 138 733 is not a square number.
The square of a number (here 138 733) is the result of the product of this number (138 733) by itself (i.e., 138 733 × 138 733); the square of 138 733 is sometimes called "raising 138 733 to the power 2", or "138 733 squared".
The square of 138 733 is 19 246 845 289 because 138 733 × 138 733 = 138 7332 = 19 246 845 289.
As a consequence, 138 733 is the square root of 19 246 845 289.
The multiples of 138 733 are all integers evenly divisible by 138 733, that is all numbers such that the remainder of the division by 138 733 is zero. There are infinitely many multiples of 138 733. The smallest multiples of 138 733 are: