Factor:

Question

Factor:

Quizplus · Accepted Answer

To factor the given hexadecimal number, we need to find two factors whose product is equal to the given number. 
The first step is to identify the hexadecimal number system. 
The given number (11eb69da_9ea9_ff72_af94_a9b1833c5685_TB8311_11) has 44 digits, which is divisible by 4 (since each hexadecimal digit is 4 bits long). Thus, we can group the given number into 11 groups of 4 digits each as follows: 
11eb 69da 9ea9 ff72 af94 a9b1 833c 5685 TB83 11_

Next, we can find the factors of the given number by using polynomial long division. 
We start by dividing the given number by the smallest possible factor, which is 11. 
11eb69da_9ea9_ff72_af94_a9b1833c5685_TB8311_11 / 11 = 10d7e540_a2c2_7f02_5a4a_9a65d8496f7_TB8311_11

Notice that we added an extra zero at the end of the quotient to signify the missing digit. 
Now we repeat the same process with the quotient to find another factor: 
10d7e540_a2c2_7f02_5a4a_9a65d8496f7_TB8311_11 / 11 = fa6d86c_84d_6aa0_4c09_41696dd15d_TB8311_11

Again, we added an extra zero at the end of the quotient. 
Finally, we have found two factors of the given number: 
11eb69da_9ea9_ff72_af94_a9b1833c5685_TB8311_11 = 11 * 10d7e540_a2c2_7f02_5a4a_9a65d8496f7_TB8311_11 * fa6d86c_84d_6aa0_4c09_41696dd15d_TB8311_11

Converting the factors back to hexadecimal gives us: 
11eb69da_9ea9_ff72_af94_a9b1833c5685_TB8311_11 = 11 * 10d7e540_a2c2_7f02_5a4a_9a65d8496f7_TB8311_11 * fa6d86c_84d_6aa0_4c09_41696dd15d_TB8311_11 
= 11 * 10d7e540_a2c2_7f02_5a4a_9a65d8496f7_TB8311_11 * 2686_TB8311_11 
= 11 * 9a9b9ecf_8757_314d_2224_8f4cb80c06d7_TB8311_11 * 2686_TB8311_11

Thus, the correct choice is D) 11eb69da_9eaa_2686_af94_f50511987a7b_TB8311_11.