Is 35343001 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 35 343 001 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 35 343 001, the only two divisors are 1 and 35 343 001. Therefore 35 343 001 is a prime number.
As a consequence, 35 343 001 is only a multiple of 1 and 35 343 001.
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Since 35343001 is a prime number, 35343001 is also a deficient number, that is to say 35343001 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 35343001 without 35343001 itself (that is 1, by definition!).