It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 47 013 is not a prime number.
For example, 47 013 can be divided by 3: 47 013 / 3 = 15 671.
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For 47 013 to be a prime number, it would have been required that 47 013 has only two divisors, i.e., itself and 1.
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47 013 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 47 013 is about 216.825.
Thus, the square root of 47 013 is not an integer, and therefore 47 013 is not a square number.
The square of a number (here 47 013) is the result of the product of this number (47 013) by itself (i.e., 47 013 × 47 013); the square of 47 013 is sometimes called "raising 47 013 to the power 2", or "47 013 squared".
The square of 47 013 is 2 210 222 169 because 47 013 × 47 013 = 47 0132 = 2 210 222 169.
As a consequence, 47 013 is the square root of 2 210 222 169.
The multiples of 47 013 are all integers evenly divisible by 47 013, that is all numbers such that the remainder of the division by 47 013 is zero. There are infinitely many multiples of 47 013. The smallest multiples of 47 013 are: