It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 583 is not a prime number.
For example, 137 583 can be divided by 3: 137 583 / 3 = 45 861.
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For 137 583 to be a prime number, it would have been required that 137 583 has only two divisors, i.e., itself and 1.
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137 583 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 137 583 is about 370.922.
Thus, the square root of 137 583 is not an integer, and therefore 137 583 is not a square number.
The square of a number (here 137 583) is the result of the product of this number (137 583) by itself (i.e., 137 583 × 137 583); the square of 137 583 is sometimes called "raising 137 583 to the power 2", or "137 583 squared".
The square of 137 583 is 18 929 081 889 because 137 583 × 137 583 = 137 5832 = 18 929 081 889.
As a consequence, 137 583 is the square root of 18 929 081 889.
The multiples of 137 583 are all integers evenly divisible by 137 583, that is all numbers such that the remainder of the division by 137 583 is zero. There are infinitely many multiples of 137 583. The smallest multiples of 137 583 are: