A:
Positive:
1 x 36785217 x 52550311 x 33441143 x 8554777 x 47773101 x 36421121 x 30401301 x 12221473 x 7777707 x 5203847 x 43431111 x 3311
Negative:
-1 x -3678521-7 x -525503-11 x -334411-43 x -85547-77 x -47773-101 x -36421-121 x -30401-301 x -12221-473 x -7777-707 x -5203-847 x -4343-1111 x -3311
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 3,678,521, 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 | 3,678,521 | |
| -1 | -3,678,521 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 3,678,521.
Example:
1 x 3,678,521 = 3,678,521
and
-1 x -3,678,521 = 3,678,521
Notice both answers equal 3,678,521
With that explanation out of the way, let's continue. Next, we take the number 3,678,521 and divide it by 2:
3,678,521 ÷ 2 = 1,839,260.5
If the quotient is a whole number, then 2 and 1,839,260.5 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 | 3,678,521 | |
| -1 | -3,678,521 |
Now, we try dividing 3,678,521 by 3:
3,678,521 ÷ 3 = 1,226,173.6667
If the quotient is a whole number, then 3 and 1,226,173.6667 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 | 3,678,521 | |
| -1 | -3,678,521 |
Let's try dividing by 4:
3,678,521 ÷ 4 = 919,630.25
If the quotient is a whole number, then 4 and 919,630.25 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 | 3,678,521 | |
| -1 | 3,678,521 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 43 | 77 | 101 | 121 | 301 | 473 | 707 | 847 | 1,111 | 3,311 | 4,343 | 5,203 | 7,777 | 12,221 | 30,401 | 36,421 | 47,773 | 85,547 | 334,411 | 525,503 | 3,678,521 |
| -1 | -7 | -11 | -43 | -77 | -101 | -121 | -301 | -473 | -707 | -847 | -1,111 | -3,311 | -4,343 | -5,203 | -7,777 | -12,221 | -30,401 | -36,421 | -47,773 | -85,547 | -334,411 | -525,503 | -3,678,521 |
Here are some more numbers to try:
Try the factor calculator