Give reason 8454 is divisible by 6
Factor 8454
8454 = 2 * 3 * 1409
8454 = 6 * 1409
8454 / 6 = 1409
Remark:
2 , 3 , 1409 is prime mumbers
to be divisible by 6, it must be divisible by 2 AND 3
8454 is even, so it is divisible by 2
the sum of the digits of 8454 is 21, which is divisible by 3, so 8454 is divisible by 3
(divisibility test for 3: if the sum of the digits of any number is divisible by 3, so is the number.
The same is true for 9 )
To determine if a number is divisible by 6, we can check if it is divisible by both 2 and 3.
Step 1: Divisibility by 2
To check if a number is divisible by 2, we only need to examine its units digit. If the units digit is an even number (0, 2, 4, 6, or 8), then the number is divisible by 2. In the case of the number 8454, the units digit is 4, which is even, so it is divisible by 2.
Step 2: Divisibility by 3
To check if a number is divisible by 3, we need to find the sum of its individual digits. If the sum is divisible by 3, then the original number is also divisible by 3. For the number 8454, the sum of its digits is 8 + 4 + 5 + 4 = 21. Since 21 is divisible by 3 (7 times), we can conclude that the number 8454 is also divisible by 3.
Since the number 8454 is divisible by both 2 and 3, it is divisible by 6.