A:
Positive:
1 x 7141071055 x 14282142123 x 3104813567 x 10658315115 x 6209627335 x 21316631541 x 4634057705 x 92681
Negative:
-1 x -714107105-5 x -142821421-23 x -31048135-67 x -10658315-115 x -6209627-335 x -2131663-1541 x -463405-7705 x -92681
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 714,107,105, 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 | 714,107,105 | |
| -1 | -714,107,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 714,107,105.
Example:
1 x 714,107,105 = 714,107,105
and
-1 x -714,107,105 = 714,107,105
Notice both answers equal 714,107,105
With that explanation out of the way, let's continue. Next, we take the number 714,107,105 and divide it by 2:
714,107,105 ÷ 2 = 357,053,552.5
If the quotient is a whole number, then 2 and 357,053,552.5 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 | 714,107,105 | |
| -1 | -714,107,105 |
Now, we try dividing 714,107,105 by 3:
714,107,105 ÷ 3 = 238,035,701.6667
If the quotient is a whole number, then 3 and 238,035,701.6667 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 | 714,107,105 | |
| -1 | -714,107,105 |
Let's try dividing by 4:
714,107,105 ÷ 4 = 178,526,776.25
If the quotient is a whole number, then 4 and 178,526,776.25 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 | 714,107,105 | |
| -1 | 714,107,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 67 | 115 | 335 | 1,541 | 7,705 | 92,681 | 463,405 | 2,131,663 | 6,209,627 | 10,658,315 | 31,048,135 | 142,821,421 | 714,107,105 |
| -1 | -5 | -23 | -67 | -115 | -335 | -1,541 | -7,705 | -92,681 | -463,405 | -2,131,663 | -6,209,627 | -10,658,315 | -31,048,135 | -142,821,421 | -714,107,105 |
Here are some more numbers to try:
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