A:
Positive:
1 x 1007423355 x 2014846743 x 2342845139 x 724765215 x 468569695 x 1449533371 x 298855977 x 16855
Negative:
-1 x -100742335-5 x -20148467-43 x -2342845-139 x -724765-215 x -468569-695 x -144953-3371 x -29885-5977 x -16855
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 100,742,335, 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 | 100,742,335 | |
| -1 | -100,742,335 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,742,335.
Example:
1 x 100,742,335 = 100,742,335
and
-1 x -100,742,335 = 100,742,335
Notice both answers equal 100,742,335
With that explanation out of the way, let's continue. Next, we take the number 100,742,335 and divide it by 2:
100,742,335 ÷ 2 = 50,371,167.5
If the quotient is a whole number, then 2 and 50,371,167.5 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 | 100,742,335 | |
| -1 | -100,742,335 |
Now, we try dividing 100,742,335 by 3:
100,742,335 ÷ 3 = 33,580,778.3333
If the quotient is a whole number, then 3 and 33,580,778.3333 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 | 100,742,335 | |
| -1 | -100,742,335 |
Let's try dividing by 4:
100,742,335 ÷ 4 = 25,185,583.75
If the quotient is a whole number, then 4 and 25,185,583.75 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 | 100,742,335 | |
| -1 | 100,742,335 |
If you did it right, you will end up with this table:
| 1 | 5 | 43 | 139 | 215 | 695 | 3,371 | 5,977 | 16,855 | 29,885 | 144,953 | 468,569 | 724,765 | 2,342,845 | 20,148,467 | 100,742,335 |
| -1 | -5 | -43 | -139 | -215 | -695 | -3,371 | -5,977 | -16,855 | -29,885 | -144,953 | -468,569 | -724,765 | -2,342,845 | -20,148,467 | -100,742,335 |
Here are some more numbers to try:
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