A:
Positive:
1 x 2711042755 x 5422085513 x 2085417525 x 1084417153 x 511517565 x 4170835265 x 1023035325 x 834167689 x 3934751325 x 2046073445 x 7869515739 x 17225
Negative:
-1 x -271104275-5 x -54220855-13 x -20854175-25 x -10844171-53 x -5115175-65 x -4170835-265 x -1023035-325 x -834167-689 x -393475-1325 x -204607-3445 x -78695-15739 x -17225
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 271,104,275, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 271,104,275 | |
| -1 | -271,104,275 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 271,104,275.
Example:
1 x 271,104,275 = 271,104,275
and
-1 x -271,104,275 = 271,104,275
Notice both answers equal 271,104,275
With that explanation out of the way, let's continue. Next, we take the number 271,104,275 and divide it by 2:
271,104,275 ÷ 2 = 135,552,137.5
If the quotient is a whole number, then 2 and 135,552,137.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 271,104,275 | |
| -1 | -271,104,275 |
Now, we try dividing 271,104,275 by 3:
271,104,275 ÷ 3 = 90,368,091.6667
If the quotient is a whole number, then 3 and 90,368,091.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 271,104,275 | |
| -1 | -271,104,275 |
Let's try dividing by 4:
271,104,275 ÷ 4 = 67,776,068.75
If the quotient is a whole number, then 4 and 67,776,068.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 271,104,275 | |
| -1 | 271,104,275 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 53 | 65 | 265 | 325 | 689 | 1,325 | 3,445 | 15,739 | 17,225 | 78,695 | 204,607 | 393,475 | 834,167 | 1,023,035 | 4,170,835 | 5,115,175 | 10,844,171 | 20,854,175 | 54,220,855 | 271,104,275 |
| -1 | -5 | -13 | -25 | -53 | -65 | -265 | -325 | -689 | -1,325 | -3,445 | -15,739 | -17,225 | -78,695 | -204,607 | -393,475 | -834,167 | -1,023,035 | -4,170,835 | -5,115,175 | -10,844,171 | -20,854,175 | -54,220,855 | -271,104,275 |
Here are some more numbers to try:
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