


08 Jan 2020

#11


Quote: Originally Posted by iko22
Write out the first n numbers along with the factors of n and watch the pattern :
n factors of n
1 has factor of 1
2 has factors of 1 and 2
3 has factors 1 and 3
4 has factors 1, 2 and 4
5 has factors 1 and 5
6 has factors 1, 2, 3, 6
7 has factors 1, 7
8 has factors 1,2, 4, 8
9 has factors of 1, 3, 9
10 has factors 1, 2, 5, 10
11 has factors 1, 11
12 has factors 1, 2, 3, 4, 6, 12
13 has factors 1 and 13
14 has factors 1, 2, 7, 14
15 has factors 1, 3, 5, 15
Any number n, that has only factors of 1 and n, is a prime number.
So, 1, 2, 3, 5, 7, 11 and 13 are prime numbers.
A composite number is a positive number that has to have at least three possible factors.
So, 4, 6, 8, 9, 10, 12, 14 and 15 are composite numbers.
In algebra, a factor is any whole number that divides into another number an exact number of times.
If you continue the sequence:
16 has factors of 1,2, 4, 8 and 16 so 16 is a composite number.
17 has factors of 1 and 17 and therefore 17 is another prime number.
That was a much better answer than mine!!

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