A:
Positive:
1 x 10302020311 x 936547313 x 7924631143 x 720421151 x 682253169 x 609587367 x 2807091661 x 620231859 x 554171963 x 524814037 x 255194771 x 21593
Negative:
-1 x -103020203-11 x -9365473-13 x -7924631-143 x -720421-151 x -682253-169 x -609587-367 x -280709-1661 x -62023-1859 x -55417-1963 x -52481-4037 x -25519-4771 x -21593
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 103,020,203, 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 | 103,020,203 | |
| -1 | -103,020,203 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 103,020,203.
Example:
1 x 103,020,203 = 103,020,203
and
-1 x -103,020,203 = 103,020,203
Notice both answers equal 103,020,203
With that explanation out of the way, let's continue. Next, we take the number 103,020,203 and divide it by 2:
103,020,203 ÷ 2 = 51,510,101.5
If the quotient is a whole number, then 2 and 51,510,101.5 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 | 103,020,203 | |
| -1 | -103,020,203 |
Now, we try dividing 103,020,203 by 3:
103,020,203 ÷ 3 = 34,340,067.6667
If the quotient is a whole number, then 3 and 34,340,067.6667 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 | 103,020,203 | |
| -1 | -103,020,203 |
Let's try dividing by 4:
103,020,203 ÷ 4 = 25,755,050.75
If the quotient is a whole number, then 4 and 25,755,050.75 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 | 103,020,203 | |
| -1 | 103,020,203 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 143 | 151 | 169 | 367 | 1,661 | 1,859 | 1,963 | 4,037 | 4,771 | 21,593 | 25,519 | 52,481 | 55,417 | 62,023 | 280,709 | 609,587 | 682,253 | 720,421 | 7,924,631 | 9,365,473 | 103,020,203 |
| -1 | -11 | -13 | -143 | -151 | -169 | -367 | -1,661 | -1,859 | -1,963 | -4,037 | -4,771 | -21,593 | -25,519 | -52,481 | -55,417 | -62,023 | -280,709 | -609,587 | -682,253 | -720,421 | -7,924,631 | -9,365,473 | -103,020,203 |
Here are some more numbers to try:
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