What number will go evenly into 102?

Answer 1

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)