It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 262 138 is not a prime number.
For example, 262 138 can be divided by 2: 262 138 / 2 = 131 069.
For 262 138 to be a prime number, it would have been required that 262 138 has only two divisors, i.e., itself and 1.
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262 138 is an even number, because it is evenly divisible by 2: 262 138 / 2 = 131 069.
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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 262 138 is about 511.994.
Thus, the square root of 262 138 is not an integer, and therefore 262 138 is not a square number.
The square of a number (here 262 138) is the result of the product of this number (262 138) by itself (i.e., 262 138 × 262 138); the square of 262 138 is sometimes called "raising 262 138 to the power 2", or "262 138 squared".
The square of 262 138 is 68 716 331 044 because 262 138 × 262 138 = 262 1382 = 68 716 331 044.
As a consequence, 262 138 is the square root of 68 716 331 044.
The multiples of 262 138 are all integers evenly divisible by 262 138, that is all numbers such that the remainder of the division by 262 138 is zero. There are infinitely many multiples of 262 138. The smallest multiples of 262 138 are: