When a number "goes evenly" into another number, we just say that number divides another number. Example: 2 divides 102. This is denoted with a vertical bar, "|", e.g. 2|102
The number is even, so 2 divides 102.
Quick lesson on digital roots. Digital roots are summing the digits of a number, until you are left with a single digit.
Example: Find the digital root of 993
9 + 9 + 3 = 21 (not a single digit, repeat the process)
2 + 1 = 3
Therefore, the digital root of 993 is 3.
Now this is where digital roots come in handy:
If the digital root of a number is equal to 3, 6, or 9 then 3 divides that number.
If the digital root of a number is equal to 3, 6, or 9 AND is even then 6 divides that number.
If the digital root of a number is equal to 9, then 9 divides it.
The digital root of 102 is 1+0+2=3 and 102 is even.
So 3|102 and 6|102
102/2 = 51, therefore 51|102
102/3 = 34, therefore 34|102
102/6 = 17, therefore 17|102
Numbers that evenly go into 102 are:
2, 3, 6, 17, 34, and 51 (1 and 102 can also be included)
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1 2 3 6 9 17 18 34 51 102 153 306.
Not evenly because it will have a remainder of 2
2
Nothing can go evenly into 21 or 17. They are both odd numbers and therefore cannot be evenly divided.
1,3,5,9,15,45