It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 463 137 is not a prime number.
For example, 463 137 can be divided by 3: 463 137 / 3 = 154 379.
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For 463 137 to be a prime number, it would have been required that 463 137 has only two divisors, i.e., itself and 1.
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463 137 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 463 137 is about 680.542.
Thus, the square root of 463 137 is not an integer, and therefore 463 137 is not a square number.
The square of a number (here 463 137) is the result of the product of this number (463 137) by itself (i.e., 463 137 × 463 137); the square of 463 137 is sometimes called "raising 463 137 to the power 2", or "463 137 squared".
The square of 463 137 is 214 495 880 769 because 463 137 × 463 137 = 463 1372 = 214 495 880 769.
As a consequence, 463 137 is the square root of 214 495 880 769.
The multiples of 463 137 are all integers evenly divisible by 463 137, that is all numbers such that the remainder of the division by 463 137 is zero. There are infinitely many multiples of 463 137. The smallest multiples of 463 137 are: