A:
Positive:
1 x 1051302777 x 1501861179 x 1330763151 x 696227553 x 1901091057 x 994611259 x 835038813 x 11929
Negative:
-1 x -105130277-7 x -15018611-79 x -1330763-151 x -696227-553 x -190109-1057 x -99461-1259 x -83503-8813 x -11929
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 105,130,277, 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 | 105,130,277 | |
| -1 | -105,130,277 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,130,277.
Example:
1 x 105,130,277 = 105,130,277
and
-1 x -105,130,277 = 105,130,277
Notice both answers equal 105,130,277
With that explanation out of the way, let's continue. Next, we take the number 105,130,277 and divide it by 2:
105,130,277 ÷ 2 = 52,565,138.5
If the quotient is a whole number, then 2 and 52,565,138.5 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 | 105,130,277 | |
| -1 | -105,130,277 |
Now, we try dividing 105,130,277 by 3:
105,130,277 ÷ 3 = 35,043,425.6667
If the quotient is a whole number, then 3 and 35,043,425.6667 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 | 105,130,277 | |
| -1 | -105,130,277 |
Let's try dividing by 4:
105,130,277 ÷ 4 = 26,282,569.25
If the quotient is a whole number, then 4 and 26,282,569.25 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 | 105,130,277 | |
| -1 | 105,130,277 |
If you did it right, you will end up with this table:
| 1 | 7 | 79 | 151 | 553 | 1,057 | 1,259 | 8,813 | 11,929 | 83,503 | 99,461 | 190,109 | 696,227 | 1,330,763 | 15,018,611 | 105,130,277 |
| -1 | -7 | -79 | -151 | -553 | -1,057 | -1,259 | -8,813 | -11,929 | -83,503 | -99,461 | -190,109 | -696,227 | -1,330,763 | -15,018,611 | -105,130,277 |
Here are some more numbers to try:
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