Let's go through each divisibility rule and determine which ones apply to the number 440:
Divisibility by 2: The number 440 is divisible by 2 because it ends with a digit 0, which is an even number. Therefore, 440 is divisible by 2.
Divisibility by 3: To check if 440 is divisible by 3, we can sum its digits: 4 + 4 + 0 = 8. Since the sum is not divisible by 3, 440 is not divisible by 3.
Divisibility by 4: The divisibility rule for 4 states that if the last two digits of a number are divisible by 4, then the entire number is divisible by 4. In the case of 440, the last two digits are 40, which is divisible by 4. Therefore, 440 is divisible by 4.
Divisibility by 5: If the last digit of a number is either 0 or 5, then the number is divisible by 5. In the case of 440, the last digit is 0, so 440 is divisible by 5.
Divisibility by 6: Since 440 is divisible by both 2 and 3, it is also divisible by 6.
Divisibility by 8: The divisibility rule for 8 states that if the last three digits of a number are divisible by 8, then the entire number is divisible by 8. In the case of 440, the last three digits are 440, which is divisible by 8. Therefore, 440 is divisible by 8.
Divisibility by 9: To check if 440 is divisible by 9, we can sum its digits: 4 + 4 + 0 = 8. Since the sum is not divisible by 9, 440 is not divisible by 9.
Divisibility by 10: If a number ends with a digit 0, it is divisible by 10. Since 440 ends with a 0, it is divisible by 10.
So, out of the given divisibility rules, the number 440 is divisible by 2, 4, 5, 6, 8, and 10.