It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 721 is not a prime number.
For example, 137 721 can be divided by 3: 137 721 / 3 = 45 907.
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For 137 721 to be a prime number, it would have been required that 137 721 has only two divisors, i.e., itself and 1.
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137 721 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 137 721 is about 371.108.
Thus, the square root of 137 721 is not an integer, and therefore 137 721 is not a square number.
The square of a number (here 137 721) is the result of the product of this number (137 721) by itself (i.e., 137 721 × 137 721); the square of 137 721 is sometimes called "raising 137 721 to the power 2", or "137 721 squared".
The square of 137 721 is 18 967 073 841 because 137 721 × 137 721 = 137 7212 = 18 967 073 841.
As a consequence, 137 721 is the square root of 18 967 073 841.
The multiples of 137 721 are all integers evenly divisible by 137 721, that is all numbers such that the remainder of the division by 137 721 is zero. There are infinitely many multiples of 137 721. The smallest multiples of 137 721 are: