It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 413 329 is not a prime number.
For example, 413 329 can be divided by 7: 413 329 / 7 = 59 047.
For 413 329 to be a prime number, it would have been required that 413 329 has only two divisors, i.e., itself and 1.
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413 329 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 413 329 is about 642.907.
Thus, the square root of 413 329 is not an integer, and therefore 413 329 is not a square number.
The square of a number (here 413 329) is the result of the product of this number (413 329) by itself (i.e., 413 329 × 413 329); the square of 413 329 is sometimes called "raising 413 329 to the power 2", or "413 329 squared".
The square of 413 329 is 170 840 862 241 because 413 329 × 413 329 = 413 3292 = 170 840 862 241.
As a consequence, 413 329 is the square root of 170 840 862 241.
The multiples of 413 329 are all integers evenly divisible by 413 329, that is all numbers such that the remainder of the division by 413 329 is zero. There are infinitely many multiples of 413 329. The smallest multiples of 413 329 are: