105
It is not a prime number, since it has smaller factors.
The only factors of a prime are 1 and itself. So, the only factor smaller than the number itself is 1. Therefore the sum of all factors smaller than the number is 1. But 1 is not a prime number. Thus, there is no prime number that is a perfect number.
No. That isn't possible: A prime number, by definition, has no smaller factors. A square number does have a smaller factor - the number that is squared.
A prime number has only two factors, one and the number itself. A composite number has more than two factors. Factors can be either prime or composite.
All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.
You go through each number, starting with 2, 3, 4, ... and check if the number has any smaller factors. If it has no smaller factors, you conclude it is a prime number. Continue until you have 10 prime numbers.
Since there are an infinite number of prime numbers, there are infinite numbers with any given number of prime factors.
3 and 5 are prime numbers. This means they can't be separated into smaller factors. For comparison, 9 is not a prime number, since it CAN be separated into smaller factors (9 = 3 x 3).
Logically, the smallest number with 4 different prime factors would have to be the product of the smallest four prime numbers. So the smallest natural number with four different prime factors is 210 (2*3*5*7).
Usually, but not necessarily and not if they're prime. All prime numbers have the same number of factors.
Then it is called a "composite number". A composite number has smaller prime numbers as its factors; for example, 6 = 2 x 3.
A composite number has more than two factors whereas a prime number has only two factors