A:
Positive:
1 x 3712155711 x 337468717 x 2183621179 x 207383187 x 1985111109 x 334731969 x 188533043 x 12199
Negative:
-1 x -37121557-11 x -3374687-17 x -2183621-179 x -207383-187 x -198511-1109 x -33473-1969 x -18853-3043 x -12199
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 37,121,557, 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 | 37,121,557 | |
| -1 | -37,121,557 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 37,121,557.
Example:
1 x 37,121,557 = 37,121,557
and
-1 x -37,121,557 = 37,121,557
Notice both answers equal 37,121,557
With that explanation out of the way, let's continue. Next, we take the number 37,121,557 and divide it by 2:
37,121,557 ÷ 2 = 18,560,778.5
If the quotient is a whole number, then 2 and 18,560,778.5 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 | 37,121,557 | |
| -1 | -37,121,557 |
Now, we try dividing 37,121,557 by 3:
37,121,557 ÷ 3 = 12,373,852.3333
If the quotient is a whole number, then 3 and 12,373,852.3333 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 | 37,121,557 | |
| -1 | -37,121,557 |
Let's try dividing by 4:
37,121,557 ÷ 4 = 9,280,389.25
If the quotient is a whole number, then 4 and 9,280,389.25 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 | 37,121,557 | |
| -1 | 37,121,557 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 179 | 187 | 1,109 | 1,969 | 3,043 | 12,199 | 18,853 | 33,473 | 198,511 | 207,383 | 2,183,621 | 3,374,687 | 37,121,557 |
| -1 | -11 | -17 | -179 | -187 | -1,109 | -1,969 | -3,043 | -12,199 | -18,853 | -33,473 | -198,511 | -207,383 | -2,183,621 | -3,374,687 | -37,121,557 |
Here are some more numbers to try:
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