It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 297 is not a prime number.
For example, 137 297 can be divided by 251: 137 297 / 251 = 547.
For 137 297 to be a prime number, it would have been required that 137 297 has only two divisors, i.e., itself and 1.
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137 297 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 137 297 is about 370.536.
Thus, the square root of 137 297 is not an integer, and therefore 137 297 is not a square number.
The square of a number (here 137 297) is the result of the product of this number (137 297) by itself (i.e., 137 297 × 137 297); the square of 137 297 is sometimes called "raising 137 297 to the power 2", or "137 297 squared".
The square of 137 297 is 18 850 466 209 because 137 297 × 137 297 = 137 2972 = 18 850 466 209.
As a consequence, 137 297 is the square root of 18 850 466 209.
The multiples of 137 297 are all integers evenly divisible by 137 297, that is all numbers such that the remainder of the division by 137 297 is zero. There are infinitely many multiples of 137 297. The smallest multiples of 137 297 are: