Answer :
To determine if 94,725 is divisible by 6 without directly dividing it, we need to check two conditions:
1. The number must be divisible by 2.
2. The number must be divisible by 3.
### Step 1: Check for Divisibility by 2
A number is divisible by 2 if its last digit is even.
The last digit of 94,725 is 5, which is an odd number. Therefore, 94,725 is not divisible by 2.
### Step 2: Check for Divisibility by 3
A number is divisible by 3 if the sum of its digits is divisible by 3.
Let's sum the digits of 94,725:
[tex]\[ 9 + 4 + 7 + 2 + 5 = 27 \][/tex]
Now, we need to check if 27 is divisible by 3. Since [tex]\( 27 \div 3 = 9 \)[/tex] with no remainder, 27 is divisible by 3. Thus, 94,725 is divisible by 3.
### Conclusion:
For a number to be divisible by 6, it needs to meet both criteria (divisibility by 2 and 3). In this case:
- 94,725 is not divisible by 2.
- 94,725 is divisible by 3.
Since 94,725 does not meet both conditions, it is not divisible by 6.
1. The number must be divisible by 2.
2. The number must be divisible by 3.
### Step 1: Check for Divisibility by 2
A number is divisible by 2 if its last digit is even.
The last digit of 94,725 is 5, which is an odd number. Therefore, 94,725 is not divisible by 2.
### Step 2: Check for Divisibility by 3
A number is divisible by 3 if the sum of its digits is divisible by 3.
Let's sum the digits of 94,725:
[tex]\[ 9 + 4 + 7 + 2 + 5 = 27 \][/tex]
Now, we need to check if 27 is divisible by 3. Since [tex]\( 27 \div 3 = 9 \)[/tex] with no remainder, 27 is divisible by 3. Thus, 94,725 is divisible by 3.
### Conclusion:
For a number to be divisible by 6, it needs to meet both criteria (divisibility by 2 and 3). In this case:
- 94,725 is not divisible by 2.
- 94,725 is divisible by 3.
Since 94,725 does not meet both conditions, it is not divisible by 6.
