Check whether 756 is divisible by 42? Verify whether 756 is divisible by all the factors of 42?

Given, a number is 756

Need to find out the given number is divisible by 42 and its factors.

⇒ Prime factors of 42 = 7,6

⇒ to test the number is divisible by 6 we need to sum the digits of 756

⇒ 7 + 5 + 6 = 18 is divisible by 6

⇒ to test the number is divisible by 7

⇒ Now, (2a + 3b + c) is divisible by 7

⇒ 2(7) + 3(5) + 6 = 14 + 15 + 6 = 35 is divisible by 7

Hence, 756 is divisible by 7