#### Answer

238,632 is divisible by 2, 3, 4, 6, 8, and 12. It is NOT divisible by 5, 9, or 10.

#### Work Step by Step

Using divisibility rules for the number 238,632.
The number:
is divisible by 2 because it is even (its ones digit is even --it is 0, 2, 4, 6, or 8)
Is divisible by 3 because the sum of its digits (2 + 3 + 8 + 6 + 3 + 2 = 24) is divisible by 3.
Is divisible by 4 because its last two digits (32) is divisible by 4.
Is NOT divisible by 5 because its ones digit is not 0 or 5.
Is divisible by 6 because it is divisible by BOTH 2 and 3.
Is divisible by 8 because its last three digits (632) is divisible by 8.
Is NOT divisible by 9 because the sum of its digits (24) is not divisible by 9.
Is NOT divisible by 10 because its ones digit is not 0 or 5.
Is divisible by 12 because it is divisible by BOTH 3 and 4.