It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 163 is not a prime number.
For example, 137 163 can be divided by 3: 137 163 / 3 = 45 721.
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For 137 163 to be a prime number, it would have been required that 137 163 has only two divisors, i.e., itself and 1.
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137 163 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 137 163 is about 370.355.
Thus, the square root of 137 163 is not an integer, and therefore 137 163 is not a square number.
The square of a number (here 137 163) is the result of the product of this number (137 163) by itself (i.e., 137 163 × 137 163); the square of 137 163 is sometimes called "raising 137 163 to the power 2", or "137 163 squared".
The square of 137 163 is 18 813 688 569 because 137 163 × 137 163 = 137 1632 = 18 813 688 569.
As a consequence, 137 163 is the square root of 18 813 688 569.
The multiples of 137 163 are all integers evenly divisible by 137 163, that is all numbers such that the remainder of the division by 137 163 is zero. There are infinitely many multiples of 137 163. The smallest multiples of 137 163 are: