It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 212 169 is not a prime number.
For example, 212 169 can be divided by 3: 212 169 / 3 = 70 723.
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For 212 169 to be a prime number, it would have been required that 212 169 has only two divisors, i.e., itself and 1.
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212 169 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 212 169 is about 460.618.
Thus, the square root of 212 169 is not an integer, and therefore 212 169 is not a square number.
The square of a number (here 212 169) is the result of the product of this number (212 169) by itself (i.e., 212 169 × 212 169); the square of 212 169 is sometimes called "raising 212 169 to the power 2", or "212 169 squared".
The square of 212 169 is 45 015 684 561 because 212 169 × 212 169 = 212 1692 = 45 015 684 561.
As a consequence, 212 169 is the square root of 45 015 684 561.
The multiples of 212 169 are all integers evenly divisible by 212 169, that is all numbers such that the remainder of the division by 212 169 is zero. There are infinitely many multiples of 212 169. The smallest multiples of 212 169 are: