It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 122 513 is not a prime number.
For example, 122 513 can be divided by 101: 122 513 / 101 = 1 213.
For 122 513 to be a prime number, it would have been required that 122 513 has only two divisors, i.e., itself and 1.
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122 513 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 122 513 is about 350.019.
Thus, the square root of 122 513 is not an integer, and therefore 122 513 is not a square number.
The square of a number (here 122 513) is the result of the product of this number (122 513) by itself (i.e., 122 513 × 122 513); the square of 122 513 is sometimes called "raising 122 513 to the power 2", or "122 513 squared".
The square of 122 513 is 15 009 435 169 because 122 513 × 122 513 = 122 5132 = 15 009 435 169.
As a consequence, 122 513 is the square root of 15 009 435 169.
The multiples of 122 513 are all integers evenly divisible by 122 513, that is all numbers such that the remainder of the division by 122 513 is zero. There are infinitely many multiples of 122 513. The smallest multiples of 122 513 are: