It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 30 101 is not a prime number.
For example, 30 101 can be divided by 31: 30 101 / 31 = 971.
For 30 101 to be a prime number, it would have been required that 30 101 has only two divisors, i.e., itself and 1.
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30 101 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 30 101 is about 173.496.
Thus, the square root of 30 101 is not an integer, and therefore 30 101 is not a square number.
The square of a number (here 30 101) is the result of the product of this number (30 101) by itself (i.e., 30 101 × 30 101); the square of 30 101 is sometimes called "raising 30 101 to the power 2", or "30 101 squared".
The square of 30 101 is 906 070 201 because 30 101 × 30 101 = 30 1012 = 906 070 201.
As a consequence, 30 101 is the square root of 906 070 201.
The multiples of 30 101 are all integers evenly divisible by 30 101, that is all numbers such that the remainder of the division by 30 101 is zero. There are infinitely many multiples of 30 101. The smallest multiples of 30 101 are: