#### Answer

The number 421,153,470 is divisible by: 2, 3, 5, 6, 9, 10
The number (above) is NOT divisible by: 4, 8, 12

#### Work Step by Step

Using divisibility rules, we find that the number 421,153,470:
Is divisible by 2 because its ones digit is even (the ones digit is one of the following: 0, 2, 4, 6, 8)
Is divisible by 3 because the sum of its digits is divisible by 3. (4 + 2 + 1 + 1 + 5 + 3 + 4 + 7 + 0 = 27)
Is NOT divisible by 4 because its tens and ones digit (70) isn't divisible by 4.
Is divisible by 5 because its ones digit is either 5 or 0.
Is divisible by 6 because it is divisible by BOTH 2 and 3.
Is not divisible by 8 because its last three digits (470) isn't divisible by 8.
Is divisible by 9 because the sum of its digits (27) is divisible by 9.
Is divisible by 10 because its ones digit is a 0.
Is NOT divisible by 12 because it is not divisible by BOTH 2 and 4.