It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 829 is not a prime number.
For example, 137 829 can be divided by 3: 137 829 / 3 = 45 943.
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For 137 829 to be a prime number, it would have been required that 137 829 has only two divisors, i.e., itself and 1.
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137 829 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 137 829 is about 371.253.
Thus, the square root of 137 829 is not an integer, and therefore 137 829 is not a square number.
The square of a number (here 137 829) is the result of the product of this number (137 829) by itself (i.e., 137 829 × 137 829); the square of 137 829 is sometimes called "raising 137 829 to the power 2", or "137 829 squared".
The square of 137 829 is 18 996 833 241 because 137 829 × 137 829 = 137 8292 = 18 996 833 241.
As a consequence, 137 829 is the square root of 18 996 833 241.
The multiples of 137 829 are all integers evenly divisible by 137 829, that is all numbers such that the remainder of the division by 137 829 is zero. There are infinitely many multiples of 137 829. The smallest multiples of 137 829 are: