A very fast and effective way to do this would be a factor tree. I can't draw it on here, as I have no tools, but here is a crude example:
114=
6 * 19
2 * 3 * 19
Here is an explanation in words:
114/6=19, hence
114=
6 * 19
If you have ever been taught how to prime factorize, you must know to reduce it to prime numbers. 19 is already a Prime number, so you leave it alone. 6 is not, and the primefactorization of 6 is 2*3, hence the prime factorization of 114 is 2*3*19.
It is simple if you know how to prime factorize.
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The first 15 multiples of 114 are:
114, 228, 342, 456, 570, 684, 798, 912, 1026, 1140, 1254, 1368, 1482, 1596, 1710 . . . ∞
Every number is divisible by any non-zero number.Any element of the set of numbers of the form 111*k, where k is an integer, is evenly divisible.
The lists of numbers divisible by and not divisible by 600 are both infinite.
All even numbers are divisible by 2.
Odd numbers
Every number is divisible by any non-zero number. Any element of the set of numbers of the form 4518*k where k is an integer is evenly divisible.
Yes, they must be.