A:
Positive:
1 x 7241334317 x 10344763341 x 17661791287 x 2523113509 x 14226593563 x 2032374957 x 14608320869 x 34699
Negative:
-1 x -724133431-7 x -103447633-41 x -17661791-287 x -2523113-509 x -1422659-3563 x -203237-4957 x -146083-20869 x -34699
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 724,133,431, 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 | 724,133,431 | |
| -1 | -724,133,431 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 724,133,431.
Example:
1 x 724,133,431 = 724,133,431
and
-1 x -724,133,431 = 724,133,431
Notice both answers equal 724,133,431
With that explanation out of the way, let's continue. Next, we take the number 724,133,431 and divide it by 2:
724,133,431 ÷ 2 = 362,066,715.5
If the quotient is a whole number, then 2 and 362,066,715.5 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 | 724,133,431 | |
| -1 | -724,133,431 |
Now, we try dividing 724,133,431 by 3:
724,133,431 ÷ 3 = 241,377,810.3333
If the quotient is a whole number, then 3 and 241,377,810.3333 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 | 724,133,431 | |
| -1 | -724,133,431 |
Let's try dividing by 4:
724,133,431 ÷ 4 = 181,033,357.75
If the quotient is a whole number, then 4 and 181,033,357.75 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 | 724,133,431 | |
| -1 | 724,133,431 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 287 | 509 | 3,563 | 4,957 | 20,869 | 34,699 | 146,083 | 203,237 | 1,422,659 | 2,523,113 | 17,661,791 | 103,447,633 | 724,133,431 |
| -1 | -7 | -41 | -287 | -509 | -3,563 | -4,957 | -20,869 | -34,699 | -146,083 | -203,237 | -1,422,659 | -2,523,113 | -17,661,791 | -103,447,633 | -724,133,431 |
Here are some more numbers to try:
Try the factor calculator