Answer
The number 21408 is divisible by: 2, 3, 4, 6, 8, and 12.
It is not divisible by: 5, 9, and 10.
Work Step by Step
Using divisibility rules we find that 21408 is divisible by:
a. 2 --Yes. It is an even number.
b. 3 --yes. The sum of its digits (2 + 1 + 4 + 0 + 8 = 15) is divisible by 3.
c. 4 -- yes. The last two digits (08) make a number that is divisible by 4.
d. 5 -- No. The ones digit is not a 0, nor is it a 5.
e. 6 --yes. It is divisible by both 2 and 3.
f. 8 -- yes. The number's last three digits (408) make a number that is divisible by 8.
g. 9 --no. The sum of its digits (15) is not divisible by 9.
h. 10 -- no. Its ones digit is not a zero.
i. 12 --yes. It is divisible by both 3 and 4.
