A:
Positive:
1 x 3712981917 x 218410719 x 1954201139 x 267121323 x 114953827 x 448972363 x 157132641 x 14059
Negative:
-1 x -37129819-17 x -2184107-19 x -1954201-139 x -267121-323 x -114953-827 x -44897-2363 x -15713-2641 x -14059
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 37,129,819, 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 | 37,129,819 | |
| -1 | -37,129,819 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 37,129,819.
Example:
1 x 37,129,819 = 37,129,819
and
-1 x -37,129,819 = 37,129,819
Notice both answers equal 37,129,819
With that explanation out of the way, let's continue. Next, we take the number 37,129,819 and divide it by 2:
37,129,819 ÷ 2 = 18,564,909.5
If the quotient is a whole number, then 2 and 18,564,909.5 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 | 37,129,819 | |
| -1 | -37,129,819 |
Now, we try dividing 37,129,819 by 3:
37,129,819 ÷ 3 = 12,376,606.3333
If the quotient is a whole number, then 3 and 12,376,606.3333 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 | 37,129,819 | |
| -1 | -37,129,819 |
Let's try dividing by 4:
37,129,819 ÷ 4 = 9,282,454.75
If the quotient is a whole number, then 4 and 9,282,454.75 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 | 37,129,819 | |
| -1 | 37,129,819 |
If you did it right, you will end up with this table:
| 1 | 17 | 19 | 139 | 323 | 827 | 2,363 | 2,641 | 14,059 | 15,713 | 44,897 | 114,953 | 267,121 | 1,954,201 | 2,184,107 | 37,129,819 |
| -1 | -17 | -19 | -139 | -323 | -827 | -2,363 | -2,641 | -14,059 | -15,713 | -44,897 | -114,953 | -267,121 | -1,954,201 | -2,184,107 | -37,129,819 |
Here are some more numbers to try:
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