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The multiples of 105 are divisible by 105, namely:105, 210, 315, 420, 525, 630, 735, 840, 945, 1050, ...105 is divisible by its factors: 1, 3, 5, 7, 15, 35, 105
105
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 9105 ends in a 5, so it is divisible by 5. 5 and 21 are factors2+1 adds up to 3, so 21 is divisible by 3. 3 and 7 are factorsBe sure to multiply any unpaired factors together to get additional factors1, 3, 5, 7, 15, 21, 35, 105
If it's to be divisible by 5, it must end in 5 or 0. And if it's to be divisible by 3, adding the digits together must result in a multiple of 3.The smallest such number is 105; the largest is 990.Since 3 x 5 = 15, all three-digit multiples of 15 would qualify. Note that 105 = 15 x 7, and 990 = 15 x 66.
Yes it is, and the answer to this is 35.