Questions: Which of the following numbers is divisible by 3? 372625 927451 153424 451242

Solution Steps

To determine which of the given numbers is divisible by 3, we can use the rule that a number is divisible by 3 if the sum of its digits is divisible by 3. We will calculate the sum of the digits for each number and check if the sum is divisible by 3.

We will calculate the sum of the digits for each number:

• For \( 372625 \): \[ 3 + 7 + 2 + 6 + 2 + 5 = 25 \]

• For \( 927451 \): \[ 9 + 2 + 7 + 4 + 5 + 1 = 28 \]

• For \( 153424 \): \[ 1 + 5 + 3 + 4 + 2 + 4 = 19 \]

• For \( 451242 \): \[ 4 + 5 + 1 + 2 + 4 + 2 = 18 \]

Next, we check if the sums calculated are divisible by \( 3 \):

• \( 25 \mod 3 = 1 \) (not divisible)
• \( 28 \mod 3 = 1 \) (not divisible)
• \( 19 \mod 3 = 1 \) (not divisible)
• \( 18 \mod 3 = 0 \) (divisible)

From the calculations, the only number whose sum of digits is divisible by \( 3 \) is \( 451242 \).

Final Answer