It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 421 137 is not a prime number.
For example, 421 137 can be divided by 3: 421 137 / 3 = 140 379.
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For 421 137 to be a prime number, it would have been required that 421 137 has only two divisors, i.e., itself and 1.
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421 137 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 421 137 is about 648.951.
Thus, the square root of 421 137 is not an integer, and therefore 421 137 is not a square number.
The square of a number (here 421 137) is the result of the product of this number (421 137) by itself (i.e., 421 137 × 421 137); the square of 421 137 is sometimes called "raising 421 137 to the power 2", or "421 137 squared".
The square of 421 137 is 177 356 372 769 because 421 137 × 421 137 = 421 1372 = 177 356 372 769.
As a consequence, 421 137 is the square root of 177 356 372 769.
The multiples of 421 137 are all integers evenly divisible by 421 137, that is all numbers such that the remainder of the division by 421 137 is zero. There are infinitely many multiples of 421 137. The smallest multiples of 421 137 are: