It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 472 137 is not a prime number.
For example, 472 137 can be divided by 3: 472 137 / 3 = 157 379.
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For 472 137 to be a prime number, it would have been required that 472 137 has only two divisors, i.e., itself and 1.
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472 137 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 472 137 is about 687.122.
Thus, the square root of 472 137 is not an integer, and therefore 472 137 is not a square number.
The square of a number (here 472 137) is the result of the product of this number (472 137) by itself (i.e., 472 137 × 472 137); the square of 472 137 is sometimes called "raising 472 137 to the power 2", or "472 137 squared".
The square of 472 137 is 222 913 346 769 because 472 137 × 472 137 = 472 1372 = 222 913 346 769.
As a consequence, 472 137 is the square root of 222 913 346 769.
The multiples of 472 137 are all integers evenly divisible by 472 137, that is all numbers such that the remainder of the division by 472 137 is zero. There are infinitely many multiples of 472 137. The smallest multiples of 472 137 are: