Question

there are 269,190 pieces of taffy in a candy shop. each barrel contains the same number of pieces of taffy. how many barrels of taffy could there be in the candy shop? select all the possible numbers. 10 9 2 3

Explanation:

Step1: Check divisibility by 10

A number is divisible by 10 if its last - digit is 0. The number 269190 ends with 0, so 269190÷10 = 26919. So 10 is a possible number of barrels.

Step2: Check divisibility by 9

The sum of the digits of 269190 is 2 + 6+9 + 1+9 + 0=27. Since 27 is divisible by 9, 269190 is divisible by 9. 269190÷9 = 29910. So 9 is a possible number of barrels.

Step3: Check divisibility by 2

A number is divisible by 2 if its last - digit is even. The last - digit of 269190 is 0 (even), so 269190÷2 = 134595. So 2 is a possible number of barrels.

Step4: Check divisibility by 3

The sum of the digits of 269190 is 27, and since 27 is divisible by 3, 269190 is divisible by 3. 269190÷3 = 89730. So 3 is a possible number of barrels.

Answer:

10, 9, 2, 3