It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 214 521 is not a prime number.
For example, 214 521 can be divided by 3: 214 521 / 3 = 71 507.
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For 214 521 to be a prime number, it would have been required that 214 521 has only two divisors, i.e., itself and 1.
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214 521 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 214 521 is about 463.164.
Thus, the square root of 214 521 is not an integer, and therefore 214 521 is not a square number.
The square of a number (here 214 521) is the result of the product of this number (214 521) by itself (i.e., 214 521 × 214 521); the square of 214 521 is sometimes called "raising 214 521 to the power 2", or "214 521 squared".
The square of 214 521 is 46 019 259 441 because 214 521 × 214 521 = 214 5212 = 46 019 259 441.
As a consequence, 214 521 is the square root of 46 019 259 441.
The multiples of 214 521 are all integers evenly divisible by 214 521, that is all numbers such that the remainder of the division by 214 521 is zero. There are infinitely many multiples of 214 521. The smallest multiples of 214 521 are: