Question

check whether 2156is divisible by 11 and7? verify whether 2156 is divisible by product of 11 and 7

Answer 1

yes 2156 is divisible by 11 and 7

Answer 2

$<b><i><u>Answer :</u>$

Given, a number is 2156

Need to find out the given number is divisible by 11 and 7

Also, need to check number divisible by product of 11 and 7.

⇒For, the number 2156 the difference of the digits of odd places and even places must be divisible by 11 or it must be 0.

⇒ (2 + 5)-(1 + 6) = 7-7 = 0

∴ the number is divisible by 11

⇒ Now, we know (6a + 2b + 3c + d) by divisibility rule

⇒ 6(2) + 2(1) + 3(5) + 6

= 12 + 2 + 15 + 6 = 35

∴ 35 is divisible by 7

Product of 11, 7 = 77 which is divisible by 7

Hence, 2156 is divisible by 11 and 7 and divisible by product of 11 and 7.