It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 901 is not a prime number.
For example, 137 901 can be divided by 3: 137 901 / 3 = 45 967.
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For 137 901 to be a prime number, it would have been required that 137 901 has only two divisors, i.e., itself and 1.
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137 901 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 137 901 is about 371.350.
Thus, the square root of 137 901 is not an integer, and therefore 137 901 is not a square number.
The square of a number (here 137 901) is the result of the product of this number (137 901) by itself (i.e., 137 901 × 137 901); the square of 137 901 is sometimes called "raising 137 901 to the power 2", or "137 901 squared".
The square of 137 901 is 19 016 685 801 because 137 901 × 137 901 = 137 9012 = 19 016 685 801.
As a consequence, 137 901 is the square root of 19 016 685 801.
The multiples of 137 901 are all integers evenly divisible by 137 901, that is all numbers such that the remainder of the division by 137 901 is zero. There are infinitely many multiples of 137 901. The smallest multiples of 137 901 are: