What are the tests of divisibility for 7 and 12? Apply the test of divisibility by 7 for 48895 and 12 for 43490.

1. Test of divisibility by 7: Double the last digit of the number and subtract it from the remaining truncated number, if the remainder is divisible by 7 then the number is divisible by 7. Eg: 742. Double the last digit =4, subtract 4 from the truncated number 74 = 70 which is divisible by 7, therefore 742 is divisible by 7.

48895

Doubling the last digit 5 = 10,

subtract 10 from the truncated number 4889 = 4879

divide 4879 by 7 = 697

therefore 48895 is divisible by 7.

2.Test of divisibility by 12: The number must be divisible by 4 and 3. The test of divisibility for 4 is that the last two digits must be divisible by 4. The test of divisibility for 3 is that the sum of the digits must be divisible by 3. Eg: 1272. The last two digits 72 are divisible by 4 which = 18 and the sum of the digits 12 is divisible by 3 which = 4, therefore 1272 is divisible by 12.

43490

the last two digits 90 are not divisible by 4

the sum of the digits 20 is also not divisible by 3

therefore 43490 is not divisible by 12.