It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 149 313 is not a prime number.
For example, 149 313 can be divided by 3: 149 313 / 3 = 49 771.
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For 149 313 to be a prime number, it would have been required that 149 313 has only two divisors, i.e., itself and 1.
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149 313 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 149 313 is about 386.410.
Thus, the square root of 149 313 is not an integer, and therefore 149 313 is not a square number.
The square of a number (here 149 313) is the result of the product of this number (149 313) by itself (i.e., 149 313 × 149 313); the square of 149 313 is sometimes called "raising 149 313 to the power 2", or "149 313 squared".
The square of 149 313 is 22 294 371 969 because 149 313 × 149 313 = 149 3132 = 22 294 371 969.
As a consequence, 149 313 is the square root of 22 294 371 969.
The multiples of 149 313 are all integers evenly divisible by 149 313, that is all numbers such that the remainder of the division by 149 313 is zero. There are infinitely many multiples of 149 313. The smallest multiples of 149 313 are: