A:
Positive:
1 x 7261505655 x 1452301137 x 10373579535 x 207471594177 x 1738454967 x 14619520885 x 3476924835 x 29239
Negative:
-1 x -726150565-5 x -145230113-7 x -103735795-35 x -20747159-4177 x -173845-4967 x -146195-20885 x -34769-24835 x -29239
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 726,150,565, 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 | 726,150,565 | |
| -1 | -726,150,565 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 726,150,565.
Example:
1 x 726,150,565 = 726,150,565
and
-1 x -726,150,565 = 726,150,565
Notice both answers equal 726,150,565
With that explanation out of the way, let's continue. Next, we take the number 726,150,565 and divide it by 2:
726,150,565 ÷ 2 = 363,075,282.5
If the quotient is a whole number, then 2 and 363,075,282.5 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 | 726,150,565 | |
| -1 | -726,150,565 |
Now, we try dividing 726,150,565 by 3:
726,150,565 ÷ 3 = 242,050,188.3333
If the quotient is a whole number, then 3 and 242,050,188.3333 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 | 726,150,565 | |
| -1 | -726,150,565 |
Let's try dividing by 4:
726,150,565 ÷ 4 = 181,537,641.25
If the quotient is a whole number, then 4 and 181,537,641.25 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 | 726,150,565 | |
| -1 | 726,150,565 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 4,177 | 4,967 | 20,885 | 24,835 | 29,239 | 34,769 | 146,195 | 173,845 | 20,747,159 | 103,735,795 | 145,230,113 | 726,150,565 |
| -1 | -5 | -7 | -35 | -4,177 | -4,967 | -20,885 | -24,835 | -29,239 | -34,769 | -146,195 | -173,845 | -20,747,159 | -103,735,795 | -145,230,113 | -726,150,565 |
Here are some more numbers to try:
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