A:
Positive:
1 x 154204197 x 220291719 x 81160123 x 67045371 x 217189133 x 115943161 x 95779437 x 35287497 x 310271349 x 114311633 x 94433059 x 5041
Negative:
-1 x -15420419-7 x -2202917-19 x -811601-23 x -670453-71 x -217189-133 x -115943-161 x -95779-437 x -35287-497 x -31027-1349 x -11431-1633 x -9443-3059 x -5041
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 15,420,419, 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 | 15,420,419 | |
| -1 | -15,420,419 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 15,420,419.
Example:
1 x 15,420,419 = 15,420,419
and
-1 x -15,420,419 = 15,420,419
Notice both answers equal 15,420,419
With that explanation out of the way, let's continue. Next, we take the number 15,420,419 and divide it by 2:
15,420,419 ÷ 2 = 7,710,209.5
If the quotient is a whole number, then 2 and 7,710,209.5 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 | 15,420,419 | |
| -1 | -15,420,419 |
Now, we try dividing 15,420,419 by 3:
15,420,419 ÷ 3 = 5,140,139.6667
If the quotient is a whole number, then 3 and 5,140,139.6667 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 | 15,420,419 | |
| -1 | -15,420,419 |
Let's try dividing by 4:
15,420,419 ÷ 4 = 3,855,104.75
If the quotient is a whole number, then 4 and 3,855,104.75 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 | 15,420,419 | |
| -1 | 15,420,419 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 23 | 71 | 133 | 161 | 437 | 497 | 1,349 | 1,633 | 3,059 | 5,041 | 9,443 | 11,431 | 31,027 | 35,287 | 95,779 | 115,943 | 217,189 | 670,453 | 811,601 | 2,202,917 | 15,420,419 |
| -1 | -7 | -19 | -23 | -71 | -133 | -161 | -437 | -497 | -1,349 | -1,633 | -3,059 | -5,041 | -9,443 | -11,431 | -31,027 | -35,287 | -95,779 | -115,943 | -217,189 | -670,453 | -811,601 | -2,202,917 | -15,420,419 |
Here are some more numbers to try:
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