A:
Positive:
1 x 1001405237 x 1430578917 x 589061959 x 1697297119 x 841517289 x 346507413 x 242471839 x 1193571003 x 998412023 x 495015873 x 170517021 x 14263
Negative:
-1 x -100140523-7 x -14305789-17 x -5890619-59 x -1697297-119 x -841517-289 x -346507-413 x -242471-839 x -119357-1003 x -99841-2023 x -49501-5873 x -17051-7021 x -14263
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 100,140,523, 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 | 100,140,523 | |
| -1 | -100,140,523 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,140,523.
Example:
1 x 100,140,523 = 100,140,523
and
-1 x -100,140,523 = 100,140,523
Notice both answers equal 100,140,523
With that explanation out of the way, let's continue. Next, we take the number 100,140,523 and divide it by 2:
100,140,523 ÷ 2 = 50,070,261.5
If the quotient is a whole number, then 2 and 50,070,261.5 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 | 100,140,523 | |
| -1 | -100,140,523 |
Now, we try dividing 100,140,523 by 3:
100,140,523 ÷ 3 = 33,380,174.3333
If the quotient is a whole number, then 3 and 33,380,174.3333 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 | 100,140,523 | |
| -1 | -100,140,523 |
Let's try dividing by 4:
100,140,523 ÷ 4 = 25,035,130.75
If the quotient is a whole number, then 4 and 25,035,130.75 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 | 100,140,523 | |
| -1 | 100,140,523 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 59 | 119 | 289 | 413 | 839 | 1,003 | 2,023 | 5,873 | 7,021 | 14,263 | 17,051 | 49,501 | 99,841 | 119,357 | 242,471 | 346,507 | 841,517 | 1,697,297 | 5,890,619 | 14,305,789 | 100,140,523 |
| -1 | -7 | -17 | -59 | -119 | -289 | -413 | -839 | -1,003 | -2,023 | -5,873 | -7,021 | -14,263 | -17,051 | -49,501 | -99,841 | -119,357 | -242,471 | -346,507 | -841,517 | -1,697,297 | -5,890,619 | -14,305,789 | -100,140,523 |
Here are some more numbers to try:
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