A:
Positive:
1 x 1001430017 x 1430614343 x 232890759 x 1697339301 x 332701413 x 2424772537 x 394735639 x 17759
Negative:
-1 x -100143001-7 x -14306143-43 x -2328907-59 x -1697339-301 x -332701-413 x -242477-2537 x -39473-5639 x -17759
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 100,143,001, 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 | 100,143,001 | |
| -1 | -100,143,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,143,001.
Example:
1 x 100,143,001 = 100,143,001
and
-1 x -100,143,001 = 100,143,001
Notice both answers equal 100,143,001
With that explanation out of the way, let's continue. Next, we take the number 100,143,001 and divide it by 2:
100,143,001 ÷ 2 = 50,071,500.5
If the quotient is a whole number, then 2 and 50,071,500.5 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 | 100,143,001 | |
| -1 | -100,143,001 |
Now, we try dividing 100,143,001 by 3:
100,143,001 ÷ 3 = 33,381,000.3333
If the quotient is a whole number, then 3 and 33,381,000.3333 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 | 100,143,001 | |
| -1 | -100,143,001 |
Let's try dividing by 4:
100,143,001 ÷ 4 = 25,035,750.25
If the quotient is a whole number, then 4 and 25,035,750.25 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 | 100,143,001 | |
| -1 | 100,143,001 |
If you did it right, you will end up with this table:
| 1 | 7 | 43 | 59 | 301 | 413 | 2,537 | 5,639 | 17,759 | 39,473 | 242,477 | 332,701 | 1,697,339 | 2,328,907 | 14,306,143 | 100,143,001 |
| -1 | -7 | -43 | -59 | -301 | -413 | -2,537 | -5,639 | -17,759 | -39,473 | -242,477 | -332,701 | -1,697,339 | -2,328,907 | -14,306,143 | -100,143,001 |
Here are some more numbers to try:
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