A:
Positive:
1 x 372251655 x 744503359 x 630935257 x 144845295 x 126187491 x 758151285 x 289692455 x 15163
Negative:
-1 x -37225165-5 x -7445033-59 x -630935-257 x -144845-295 x -126187-491 x -75815-1285 x -28969-2455 x -15163
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 37,225,165, 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 | 37,225,165 | |
| -1 | -37,225,165 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 37,225,165.
Example:
1 x 37,225,165 = 37,225,165
and
-1 x -37,225,165 = 37,225,165
Notice both answers equal 37,225,165
With that explanation out of the way, let's continue. Next, we take the number 37,225,165 and divide it by 2:
37,225,165 ÷ 2 = 18,612,582.5
If the quotient is a whole number, then 2 and 18,612,582.5 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 | 37,225,165 | |
| -1 | -37,225,165 |
Now, we try dividing 37,225,165 by 3:
37,225,165 ÷ 3 = 12,408,388.3333
If the quotient is a whole number, then 3 and 12,408,388.3333 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 | 37,225,165 | |
| -1 | -37,225,165 |
Let's try dividing by 4:
37,225,165 ÷ 4 = 9,306,291.25
If the quotient is a whole number, then 4 and 9,306,291.25 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 | 37,225,165 | |
| -1 | 37,225,165 |
If you did it right, you will end up with this table:
| 1 | 5 | 59 | 257 | 295 | 491 | 1,285 | 2,455 | 15,163 | 28,969 | 75,815 | 126,187 | 144,845 | 630,935 | 7,445,033 | 37,225,165 |
| -1 | -5 | -59 | -257 | -295 | -491 | -1,285 | -2,455 | -15,163 | -28,969 | -75,815 | -126,187 | -144,845 | -630,935 | -7,445,033 | -37,225,165 |
Here are some more numbers to try:
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