It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 3 501 is not a prime number.
For example, 3 501 can be divided by 3: 3 501 / 3 = 1 167.
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For 3 501 to be a prime number, it would have been required that 3 501 has only two divisors, i.e., itself and 1.
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3 501 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 3 501 is about 59.169.
Thus, the square root of 3 501 is not an integer, and therefore 3 501 is not a square number.
The square of a number (here 3 501) is the result of the product of this number (3 501) by itself (i.e., 3 501 × 3 501); the square of 3 501 is sometimes called "raising 3 501 to the power 2", or "3 501 squared".
The square of 3 501 is 12 257 001 because 3 501 × 3 501 = 3 5012 = 12 257 001.
As a consequence, 3 501 is the square root of 12 257 001.
The multiples of 3 501 are all integers evenly divisible by 3 501, that is all numbers such that the remainder of the division by 3 501 is zero. There are infinitely many multiples of 3 501. The smallest multiples of 3 501 are: