A:
Positive:
1 x 7014087297 x 10020124717 x 4125933767 x 10468787119 x 5894191469 x 14955411139 x 6158117973 x 87973
Negative:
-1 x -701408729-7 x -100201247-17 x -41259337-67 x -10468787-119 x -5894191-469 x -1495541-1139 x -615811-7973 x -87973
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 701,408,729, 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 | 701,408,729 | |
| -1 | -701,408,729 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 701,408,729.
Example:
1 x 701,408,729 = 701,408,729
and
-1 x -701,408,729 = 701,408,729
Notice both answers equal 701,408,729
With that explanation out of the way, let's continue. Next, we take the number 701,408,729 and divide it by 2:
701,408,729 ÷ 2 = 350,704,364.5
If the quotient is a whole number, then 2 and 350,704,364.5 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 | 701,408,729 | |
| -1 | -701,408,729 |
Now, we try dividing 701,408,729 by 3:
701,408,729 ÷ 3 = 233,802,909.6667
If the quotient is a whole number, then 3 and 233,802,909.6667 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 | 701,408,729 | |
| -1 | -701,408,729 |
Let's try dividing by 4:
701,408,729 ÷ 4 = 175,352,182.25
If the quotient is a whole number, then 4 and 175,352,182.25 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 | 701,408,729 | |
| -1 | 701,408,729 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 67 | 119 | 469 | 1,139 | 7,973 | 87,973 | 615,811 | 1,495,541 | 5,894,191 | 10,468,787 | 41,259,337 | 100,201,247 | 701,408,729 |
| -1 | -7 | -17 | -67 | -119 | -469 | -1,139 | -7,973 | -87,973 | -615,811 | -1,495,541 | -5,894,191 | -10,468,787 | -41,259,337 | -100,201,247 | -701,408,729 |
Here are some more numbers to try:
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