Question

Choose the numbers that are factors of 112. (Hint: Use the divisibility rules to help you!) 2 3 4 6 7 8

Answer 1

2,4,7,8

Explanation:

112 is even so it is divisible by 2

112/3

If the sum of the digits are divisible by 3

1+1+2 = 4 four is not divisible by 3 so it is not divisible by 3

112 /4

Check the last two digits

12/4 = 3 so it is divisible by 4

112/6

If it is divisible by 2 and 3

It is divisible by 2 but not 3 so NO

112/7

remove the last digit, double it then subtract it

11 -(2*2) = 7

7/7 so this is divisible by 7

112/8

If the last 3 digits are divisible by 8

112/8 = 14 so it is divisible by 8

Answer 2

Divide 112 by the possible answers. If the answer comes out even it is a factor. If it comes out with a decimal it is not a factor:

112 / 2 = 56, so 2 is a factor.

112/3 = 37.333., 3 is not a factor.

112 /4 = 28, 4 is a factor.

112 / 6 = 18.66, 6 is not a factor.

112 / 7 = 16, 7 is a factor.

112/8 = 14, 8 is a factor.

The factors are: 2 , 4 ,7 and 8.