Answer
The number 26428 is divisible by: 2 and 4.
It is not divisible by 3, 5, 6, 8, 9, 10 or 12.
Work Step by Step
Using divisibility rules, we can find that 26428 is divisible by:
a. 2 --Yes. It is even. Its ones digit is either a 0, 2, 4, 6, or 8.
b. 3 --No. The sum of its digits (2 + 6 + 4 + 2 + 8 = 22) is not divisible by 3.
c. 4 --Yes. The last 2 digits (28) make a number that is divisible by 4.
d. 5 -- No. The ones digit is not a zero, nor is it a five.
e. 6 --No. It is not divisible by both 2 and 3.
f. 8 -- No. The last three digits (428) make a number that is not divisible by 8.
g. 9 -- no. The sum of its digits (22) is not divisible by 9.
h. 10 -- no. Its ones digit is not a zero.
i. 12 --no. It is not divisible by both 3 and 4.