It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 13 117 is not a prime number.
For example, 13 117 can be divided by 13: 13 117 / 13 = 1 009.
For 13 117 to be a prime number, it would have been required that 13 117 has only two divisors, i.e., itself and 1.
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13 117 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 13 117 is about 114.529.
Thus, the square root of 13 117 is not an integer, and therefore 13 117 is not a square number.
The square of a number (here 13 117) is the result of the product of this number (13 117) by itself (i.e., 13 117 × 13 117); the square of 13 117 is sometimes called "raising 13 117 to the power 2", or "13 117 squared".
The square of 13 117 is 172 055 689 because 13 117 × 13 117 = 13 1172 = 172 055 689.
As a consequence, 13 117 is the square root of 172 055 689.
The multiples of 13 117 are all integers evenly divisible by 13 117, that is all numbers such that the remainder of the division by 13 117 is zero. There are infinitely many multiples of 13 117. The smallest multiples of 13 117 are: