Solution

To find which number divides 576499, we will test the divisibility of 576499 by each of the given options: 15, 6, 7, and 16.

Divisibility Checks

• Check for 15: A number is divisible by 15 if it is divisible by both 3 and 5.
  • Divisibility by 5: The number must end in 0 or 5. Since 576499 ends in 9, it is not divisible by 5.
  • Conclusion: 576499 is not divisible by 15.
• Check for 6: A number is divisible by 6 if it is divisible by both 2 and 3.
  • Divisibility by 2: The number must be even. Since 576499 is an odd number, it is not divisible by 2.
  • Conclusion: 576499 is not divisible by 6.
• Check for 7: We perform the division.
  • Calculation:
    $576499 \div 7 = 82357$
    The division results in a whole number.
  • Conclusion: 576499 is divisible by 7.
• Check for 16: A number is divisible by 16 if the number formed by its last four digits is divisible by 16.
  • The last four digits of 576499 form the number 6499.
  • Calculation:
    $6499 \div 16 = 406.1875$
    The result is not a whole number.
  • Conclusion: 576499 is not divisible by 16.

Final Answer

The only option that correctly divides 576499 is 7.