It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 241 is not a prime number.
For example, 137 241 can be divided by 3: 137 241 / 3 = 45 747.
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For 137 241 to be a prime number, it would have been required that 137 241 has only two divisors, i.e., itself and 1.
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137 241 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 137 241 is about 370.461.
Thus, the square root of 137 241 is not an integer, and therefore 137 241 is not a square number.
The square of a number (here 137 241) is the result of the product of this number (137 241) by itself (i.e., 137 241 × 137 241); the square of 137 241 is sometimes called "raising 137 241 to the power 2", or "137 241 squared".
The square of 137 241 is 18 835 092 081 because 137 241 × 137 241 = 137 2412 = 18 835 092 081.
As a consequence, 137 241 is the square root of 18 835 092 081.
The multiples of 137 241 are all integers evenly divisible by 137 241, that is all numbers such that the remainder of the division by 137 241 is zero. There are infinitely many multiples of 137 241. The smallest multiples of 137 241 are: