Okay i have 1 more sry...explain y every even natural # greater the 2 as at least 3 factors?

Question

thank you soo much

Answer 1

Even numbers are divisible by 2,

so they can be written as 2*k (definition of even numbers).

Such a number has the factors: 1, 2, and k.

Since there may be others (if k is composite),

we say it has at least 3 factors.

If you count the number itself (2k) as a factor, then it's at least 4 factors.

Note that this does not imply that odd numbers do not have at least

3 factors.  Some do and some don't.

Some examples:

13 has 2 factors: 1 and 13 (because it is prime)

14 has the factors: 1, 2, 7, and possibly we count 14

It has more than 2 factors because it is composite (not prime),

furthermore it has the factor 2 and 14/2 which of course is 7.

12 has even more than that:

1,2,3,4,6, and possibly 12.

15 is and odd number, but since it is composite it has more than 2 factors: 1, 3, 5, and possibly 15.

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