Question

11. 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:

Prime factors of 63 = 3x3x7  

The co-prime number that we can get from the prime factor are 3x3=9 and 7. Their product is also 9x7=63.

As per rule the number should also be divisible by 9 and 7, which are also co-prime numbers.

Divisibility rule of 9 says,

2+7+4+6+8 = 27 and 27 is divisible by 9. Hence the number27468 is divisible by 9.

Applying the divisibility rule of 7:

2746 -16 =2730

273-0=273

27-6=21

Since, 21 is divisible by 7. hence the number 27468 is divisible by 7.

Now applying the stated rule that if a number is divisible by 2 co prime number then it is also divisible by their product.

Hence it is also divisible by 63.

Cross check – 27468 ÷63  

Answer is 436