It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 679 is not a prime number.
For example, 137 679 can be divided by 3: 137 679 / 3 = 45 893.
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For 137 679 to be a prime number, it would have been required that 137 679 has only two divisors, i.e., itself and 1.
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137 679 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 137 679 is about 371.051.
Thus, the square root of 137 679 is not an integer, and therefore 137 679 is not a square number.
The square of a number (here 137 679) is the result of the product of this number (137 679) by itself (i.e., 137 679 × 137 679); the square of 137 679 is sometimes called "raising 137 679 to the power 2", or "137 679 squared".
The square of 137 679 is 18 955 507 041 because 137 679 × 137 679 = 137 6792 = 18 955 507 041.
As a consequence, 137 679 is the square root of 18 955 507 041.
The multiples of 137 679 are all integers evenly divisible by 137 679, that is all numbers such that the remainder of the division by 137 679 is zero. There are infinitely many multiples of 137 679. The smallest multiples of 137 679 are: