It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 463 948 is not a prime number.
For example, 463 948 can be divided by 2: 463 948 / 2 = 231 974.
For 463 948 to be a prime number, it would have been required that 463 948 has only two divisors, i.e., itself and 1.
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463 948 is an even number, because it is evenly divisible by 2: 463 948 / 2 = 231 974.
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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 463 948 is about 681.137.
Thus, the square root of 463 948 is not an integer, and therefore 463 948 is not a square number.
The square of a number (here 463 948) is the result of the product of this number (463 948) by itself (i.e., 463 948 × 463 948); the square of 463 948 is sometimes called "raising 463 948 to the power 2", or "463 948 squared".
The square of 463 948 is 215 247 746 704 because 463 948 × 463 948 = 463 9482 = 215 247 746 704.
As a consequence, 463 948 is the square root of 215 247 746 704.
The multiples of 463 948 are all integers evenly divisible by 463 948, that is all numbers such that the remainder of the division by 463 948 is zero. There are infinitely many multiples of 463 948. The smallest multiples of 463 948 are: