A:
Positive:
1 x 73102650119 x 3847507937 x 1975747361 x 11984041703 x 10398671159 x 6307392257 x 32389317047 x 42883
Negative:
-1 x -731026501-19 x -38475079-37 x -19757473-61 x -11984041-703 x -1039867-1159 x -630739-2257 x -323893-17047 x -42883
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 731,026,501, 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 | 731,026,501 | |
| -1 | -731,026,501 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 731,026,501.
Example:
1 x 731,026,501 = 731,026,501
and
-1 x -731,026,501 = 731,026,501
Notice both answers equal 731,026,501
With that explanation out of the way, let's continue. Next, we take the number 731,026,501 and divide it by 2:
731,026,501 ÷ 2 = 365,513,250.5
If the quotient is a whole number, then 2 and 365,513,250.5 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 | 731,026,501 | |
| -1 | -731,026,501 |
Now, we try dividing 731,026,501 by 3:
731,026,501 ÷ 3 = 243,675,500.3333
If the quotient is a whole number, then 3 and 243,675,500.3333 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 | 731,026,501 | |
| -1 | -731,026,501 |
Let's try dividing by 4:
731,026,501 ÷ 4 = 182,756,625.25
If the quotient is a whole number, then 4 and 182,756,625.25 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 | 731,026,501 | |
| -1 | 731,026,501 |
If you did it right, you will end up with this table:
| 1 | 19 | 37 | 61 | 703 | 1,159 | 2,257 | 17,047 | 42,883 | 323,893 | 630,739 | 1,039,867 | 11,984,041 | 19,757,473 | 38,475,079 | 731,026,501 |
| -1 | -19 | -37 | -61 | -703 | -1,159 | -2,257 | -17,047 | -42,883 | -323,893 | -630,739 | -1,039,867 | -11,984,041 | -19,757,473 | -38,475,079 | -731,026,501 |
Here are some more numbers to try:
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