A:
Positive:
1 x 375158217 x 535940317 x 220681329 x 129364949 x 765629119 x 315259203 x 184807493 x 76097833 x 450371421 x 264011553 x 241573451 x 10871
Negative:
-1 x -37515821-7 x -5359403-17 x -2206813-29 x -1293649-49 x -765629-119 x -315259-203 x -184807-493 x -76097-833 x -45037-1421 x -26401-1553 x -24157-3451 x -10871
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 37,515,821, 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 | 37,515,821 | |
| -1 | -37,515,821 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 37,515,821.
Example:
1 x 37,515,821 = 37,515,821
and
-1 x -37,515,821 = 37,515,821
Notice both answers equal 37,515,821
With that explanation out of the way, let's continue. Next, we take the number 37,515,821 and divide it by 2:
37,515,821 ÷ 2 = 18,757,910.5
If the quotient is a whole number, then 2 and 18,757,910.5 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 | 37,515,821 | |
| -1 | -37,515,821 |
Now, we try dividing 37,515,821 by 3:
37,515,821 ÷ 3 = 12,505,273.6667
If the quotient is a whole number, then 3 and 12,505,273.6667 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 | 37,515,821 | |
| -1 | -37,515,821 |
Let's try dividing by 4:
37,515,821 ÷ 4 = 9,378,955.25
If the quotient is a whole number, then 4 and 9,378,955.25 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 | 37,515,821 | |
| -1 | 37,515,821 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 29 | 49 | 119 | 203 | 493 | 833 | 1,421 | 1,553 | 3,451 | 10,871 | 24,157 | 26,401 | 45,037 | 76,097 | 184,807 | 315,259 | 765,629 | 1,293,649 | 2,206,813 | 5,359,403 | 37,515,821 |
| -1 | -7 | -17 | -29 | -49 | -119 | -203 | -493 | -833 | -1,421 | -1,553 | -3,451 | -10,871 | -24,157 | -26,401 | -45,037 | -76,097 | -184,807 | -315,259 | -765,629 | -1,293,649 | -2,206,813 | -5,359,403 | -37,515,821 |
Here are some more numbers to try:
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