Question

Determine if 27,468 is divisible by 63 Apply the rule that if a number is divisible by two co-prime numbers, then it is also divisible by their product

Answer 1

Answer:

Step-by-step explanation:

For checking if a no is divisible by 63, we can check it using two co-prime factors of 63 which are 7 and 9

Divisibility test of 9 = sum of all digits should be divisible by 9

Divisibility test of 7 = if subtracting twice the last digit of N from the remaining digits gives a multiple of 7

if 27468 is divisible by 9 and 7 both, then it is divisible by 63

Lets first check it for 9

27468 = 2+7+4+6+8 = 27 , is divisible by 9

Lets check for 7 now

27468 :

step 1 : twice the last digit = 2*8 = 16

2746 - 16 = 2730 ,

step 2 : we can check if 2730 is divided by 7 = 390 , yes

so 27468 is divisible by 9 and 7 both

yes 27468 is divisible by 63