Which of the following numbers is divisible by 3 ?

Options

A. 8703541
B. 8703593
C. 8703572
D. 8765001

Answer

To determine which of the given numbers is divisible by 3, we will use the rule of divisibility for 3, which states that a number is divisible by 3 if the sum of its digits is divisible by 3.

Let's analyze each option step by step:

### Step 1: Check Option A - 8703541
1. **Calculate the sum of the digits:**
- \(8 + 7 + 0 + 3 + 5 + 4 + 1\)
- \(= 8 + 7 = 15\)
- \(15 + 0 = 15\)
- \(15 + 3 = 18\)
- \(18 + 5 = 23\)
- \(23 + 4 = 27\)
- \(27 + 1 = 28\)

2. **Check if the sum (28) is divisible by 3:**
- \(28 \div 3 = 9.33\) (not divisible)

**Conclusion:** Option A is not divisible by 3.

### Step 2: Check Option B - 8703593
1. **Calculate the sum of the digits:**
- \(8 + 7 + 0 + 3 + 5 + 9 + 3\)
- \(= 8 + 7 = 15\)
- \(15 + 0 = 15\)
- \(15 + 3 = 18\)
- \(18 + 5 = 23\)
- \(23 + 9 = 32\)
- \(32 + 3 = 35\)

2. **Check if the sum (35) is divisible by 3:**
- \(35 \div 3 = 11.67\) (not divisible)

**Conclusion:** Option B is not divisible by 3.

### Step 3: Check Option C - 8703572
1. **Calculate the sum of the digits:**
- \(8 + 7 + 0 + 3 + 5 + 7 + 2\)
- \(= 8 + 7 = 15\)
- \(15 + 0 = 15\)
- \(15 + 3 = 18\)
- \(18 + 5 = 23\)
- \(23 + 7 = 30\)
- \(30 + 2 = 32\)

2. **Check if the sum (32) is divisible by 3:**
- \(32 \div 3 = 10.67\) (not divisible)

**Conclusion:** Option C is not divisible by 3.

### Step 4: Check Option D - 8765001
1. **Calculate the sum of the digits:**
- \(8 + 7 + 6 + 5 + 0 + 0 + 1\)
- \(= 8 + 7 = 15\)
- \(15 + 6 = 21\)
- \(21 + 5 = 26\)
- \(26 + 0 = 26\)
- \(26 + 0 = 26\)
- \(26 + 1 = 27\)

2. **Check if the sum (27) is divisible by 3:**
- \(27 \div 3 = 9\) (divisible)

**Conclusion:** Option D is divisible by 3.

### Final Answer:
The number that is divisible by 3 is **Option D: 8765001**.

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