It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 401 313 is not a prime number.
For example, 401 313 can be divided by 3: 401 313 / 3 = 133 771.
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For 401 313 to be a prime number, it would have been required that 401 313 has only two divisors, i.e., itself and 1.
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401 313 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 401 313 is about 633.493.
Thus, the square root of 401 313 is not an integer, and therefore 401 313 is not a square number.
The square of a number (here 401 313) is the result of the product of this number (401 313) by itself (i.e., 401 313 × 401 313); the square of 401 313 is sometimes called "raising 401 313 to the power 2", or "401 313 squared".
The square of 401 313 is 161 052 123 969 because 401 313 × 401 313 = 401 3132 = 161 052 123 969.
As a consequence, 401 313 is the square root of 161 052 123 969.
The multiples of 401 313 are all integers evenly divisible by 401 313, that is all numbers such that the remainder of the division by 401 313 is zero. There are infinitely many multiples of 401 313. The smallest multiples of 401 313 are: