By using divisibility rules, find the common factor of 3586 and 5489.Responses33771111

To find the common factor of 3586 and 5489 using divisibility rules, follow these steps:

1. First, write down the two numbers: 3586 and 5489.

2. Start by checking the simplest divisibility rule, which is divisibility by 2. A number is divisible by 2 if its last digit is 0, 2, 4, 6, or 8. In this case, both 3586 and 5489 are not divisible by 2 because their last digits are 6 and 9, respectively.

3. Next, check the divisibility rule for 3. A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits for 3586 is 22 (3+5+8+6) and for 5489 is 26 (5+4+8+9). Neither 22 nor 26 is divisible by 3.

4. Continue this process with the divisibility rules for 4, 5, 6, 7, 8, 9, and 10.

5. If none of these rules apply, then the common factor of 3586 and 5489 is 1, which means they are co-prime numbers.

Note: The divisibility rules for numbers larger than 10 become more complex and are beyond the scope of this explanation.