What can 105 be divided by?

Answer 1

Technically, 105 can be divided by any number that strikes your fancy. (except zero!)

But for it to result in a whole number, you must divide by a factor of 105. Factoring is usually just by done by dividing by numbers until you get all the numbers that work.

A couple shortcuts to factoring:

-All numbers are divisible by themselves and 1

-If a number ends in a 2, 4, 6, 8, or 0, it is divisible by 2

-If the digits of a number add up to a number that is divisible by 3, then the original number is divisible by 3

-If a number ends in 5 or 0, it is divisible by 5

-If the digits of a number add up to 9 (or a number that is divisible by 0), then it is divisible by 9

105 ends in a 5, so it is divisible by 5. 5 and 21 are factors

2+1 adds up to 3, so 21 is divisible by 3. 3 and 7 are factors

Be sure to multiply any unpaired factors together to get additional factors

1, 3, 5, 7, 15, 21, 35, 105