Is 208744709 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 208 744 709 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 208 744 709, the only two divisors are 1 and 208 744 709. Therefore 208 744 709 is a prime number.
As a consequence, 208 744 709 is only a multiple of 1 and 208 744 709.
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Since 208744709 is a prime number, 208744709 is also a deficient number, that is to say 208744709 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 208744709 without 208744709 itself (that is 1, by definition!).