It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 378 013 is not a prime number.
For example, 378 013 can be divided by 43: 378 013 / 43 = 8 791.
For 378 013 to be a prime number, it would have been required that 378 013 has only two divisors, i.e., itself and 1.
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378 013 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 378 013 is about 614.828.
Thus, the square root of 378 013 is not an integer, and therefore 378 013 is not a square number.
The square of a number (here 378 013) is the result of the product of this number (378 013) by itself (i.e., 378 013 × 378 013); the square of 378 013 is sometimes called "raising 378 013 to the power 2", or "378 013 squared".
The square of 378 013 is 142 893 828 169 because 378 013 × 378 013 = 378 0132 = 142 893 828 169.
As a consequence, 378 013 is the square root of 142 893 828 169.
The multiples of 378 013 are all integers evenly divisible by 378 013, that is all numbers such that the remainder of the division by 378 013 is zero. There are infinitely many multiples of 378 013. The smallest multiples of 378 013 are: