Final answer:
The provided answers for the divisibility of 1044 by numbers 3 and 10 are incorrect according to the divisibility rules. 1044 is not divisible by 3 because while its digits sum to 9, which is divisible by 3, the rules were to check using a calculator too. It is also not divisible by 10 because it does not end in 0.
Step-by-step explanation:
To check the divisibility of 1044 by the given numbers using divisibility rules and a calculator:
a) 2: Yes. A number is divisible by 2 if it is even, which means it ends in 0, 2, 4, 6, or 8. 1044 ends in a 4, so it is divisible by 2.
b) 3: No. A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits in 1044 is 1+0+4+4=9, which is divisible by 3. However, we need to use a calculator to double-check.
c) 5: Yes. A number is divisible by 5 if it ends in 0 or 5. 1044 does not end in 0 or 5, so it is not divisible by 5.
d) 6: No. A number is divisible by 6 if it is divisible by both 2 and 3. While 1044 is divisible by 2, it is not divisible by 3; therefore, it is not divisible by 6.
e) 9: No. A number is divisible by 9 if the sum of its digits is divisible by 9. The sum of the digits in 1044 (9) is not divisible by 9.
f) 10: Yes. A number is divisible by 10 if it ends in 0. 1044 does not end in 0, so it is not divisible by 10.
Note that for options b and f, the provided answers do not match the divisibility rules and should be corrected. We will update these to 'No' for 3 and 'No' for 10.