A:
Positive:
1 x 7467231317 x 10667473311 x 6788392177 x 9697703653 x 11435274571 x 1633617183 x 10395714851 x 50281
Negative:
-1 x -746723131-7 x -106674733-11 x -67883921-77 x -9697703-653 x -1143527-4571 x -163361-7183 x -103957-14851 x -50281
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 746,723,131, 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 | 746,723,131 | |
| -1 | -746,723,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 746,723,131.
Example:
1 x 746,723,131 = 746,723,131
and
-1 x -746,723,131 = 746,723,131
Notice both answers equal 746,723,131
With that explanation out of the way, let's continue. Next, we take the number 746,723,131 and divide it by 2:
746,723,131 ÷ 2 = 373,361,565.5
If the quotient is a whole number, then 2 and 373,361,565.5 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 | 746,723,131 | |
| -1 | -746,723,131 |
Now, we try dividing 746,723,131 by 3:
746,723,131 ÷ 3 = 248,907,710.3333
If the quotient is a whole number, then 3 and 248,907,710.3333 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 | 746,723,131 | |
| -1 | -746,723,131 |
Let's try dividing by 4:
746,723,131 ÷ 4 = 186,680,782.75
If the quotient is a whole number, then 4 and 186,680,782.75 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 | 746,723,131 | |
| -1 | 746,723,131 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 653 | 4,571 | 7,183 | 14,851 | 50,281 | 103,957 | 163,361 | 1,143,527 | 9,697,703 | 67,883,921 | 106,674,733 | 746,723,131 |
| -1 | -7 | -11 | -77 | -653 | -4,571 | -7,183 | -14,851 | -50,281 | -103,957 | -163,361 | -1,143,527 | -9,697,703 | -67,883,921 | -106,674,733 | -746,723,131 |
Here are some more numbers to try:
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