It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 031 is not a prime number.
For example, 137 031 can be divided by 3: 137 031 / 3 = 45 677.
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For 137 031 to be a prime number, it would have been required that 137 031 has only two divisors, i.e., itself and 1.
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137 031 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 137 031 is about 370.177.
Thus, the square root of 137 031 is not an integer, and therefore 137 031 is not a square number.
The square of a number (here 137 031) is the result of the product of this number (137 031) by itself (i.e., 137 031 × 137 031); the square of 137 031 is sometimes called "raising 137 031 to the power 2", or "137 031 squared".
The square of 137 031 is 18 777 494 961 because 137 031 × 137 031 = 137 0312 = 18 777 494 961.
As a consequence, 137 031 is the square root of 18 777 494 961.
The multiples of 137 031 are all integers evenly divisible by 137 031, that is all numbers such that the remainder of the division by 137 031 is zero. There are infinitely many multiples of 137 031. The smallest multiples of 137 031 are: