It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 472 238 is not a prime number.
For example, 472 238 can be divided by 2: 472 238 / 2 = 236 119.
For 472 238 to be a prime number, it would have been required that 472 238 has only two divisors, i.e., itself and 1.
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472 238 is an even number, because it is evenly divisible by 2: 472 238 / 2 = 236 119.
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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 472 238 is about 687.196.
Thus, the square root of 472 238 is not an integer, and therefore 472 238 is not a square number.
The square of a number (here 472 238) is the result of the product of this number (472 238) by itself (i.e., 472 238 × 472 238); the square of 472 238 is sometimes called "raising 472 238 to the power 2", or "472 238 squared".
The square of 472 238 is 223 008 728 644 because 472 238 × 472 238 = 472 2382 = 223 008 728 644.
As a consequence, 472 238 is the square root of 223 008 728 644.
The multiples of 472 238 are all integers evenly divisible by 472 238, that is all numbers such that the remainder of the division by 472 238 is zero. There are infinitely many multiples of 472 238. The smallest multiples of 472 238 are: