A:
Positive:
1 x 2761930017 x 39456143107 x 2581243283 x 975947749 x 3687491303 x 2119671981 x 1394219121 x 30281
Negative:
-1 x -276193001-7 x -39456143-107 x -2581243-283 x -975947-749 x -368749-1303 x -211967-1981 x -139421-9121 x -30281
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 276,193,001, 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 | 276,193,001 | |
| -1 | -276,193,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 276,193,001.
Example:
1 x 276,193,001 = 276,193,001
and
-1 x -276,193,001 = 276,193,001
Notice both answers equal 276,193,001
With that explanation out of the way, let's continue. Next, we take the number 276,193,001 and divide it by 2:
276,193,001 ÷ 2 = 138,096,500.5
If the quotient is a whole number, then 2 and 138,096,500.5 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 | 276,193,001 | |
| -1 | -276,193,001 |
Now, we try dividing 276,193,001 by 3:
276,193,001 ÷ 3 = 92,064,333.6667
If the quotient is a whole number, then 3 and 92,064,333.6667 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 | 276,193,001 | |
| -1 | -276,193,001 |
Let's try dividing by 4:
276,193,001 ÷ 4 = 69,048,250.25
If the quotient is a whole number, then 4 and 69,048,250.25 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 | 276,193,001 | |
| -1 | 276,193,001 |
If you did it right, you will end up with this table:
| 1 | 7 | 107 | 283 | 749 | 1,303 | 1,981 | 9,121 | 30,281 | 139,421 | 211,967 | 368,749 | 975,947 | 2,581,243 | 39,456,143 | 276,193,001 |
| -1 | -7 | -107 | -283 | -749 | -1,303 | -1,981 | -9,121 | -30,281 | -139,421 | -211,967 | -368,749 | -975,947 | -2,581,243 | -39,456,143 | -276,193,001 |
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