A:
Positive:
1 x 355334217 x 507620311 x 323031177 x 461473541 x 65681853 x 416573787 x 93835951 x 5971
Negative:
-1 x -35533421-7 x -5076203-11 x -3230311-77 x -461473-541 x -65681-853 x -41657-3787 x -9383-5951 x -5971
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 35,533,421, 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 | 35,533,421 | |
| -1 | -35,533,421 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,533,421.
Example:
1 x 35,533,421 = 35,533,421
and
-1 x -35,533,421 = 35,533,421
Notice both answers equal 35,533,421
With that explanation out of the way, let's continue. Next, we take the number 35,533,421 and divide it by 2:
35,533,421 ÷ 2 = 17,766,710.5
If the quotient is a whole number, then 2 and 17,766,710.5 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 | 35,533,421 | |
| -1 | -35,533,421 |
Now, we try dividing 35,533,421 by 3:
35,533,421 ÷ 3 = 11,844,473.6667
If the quotient is a whole number, then 3 and 11,844,473.6667 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 | 35,533,421 | |
| -1 | -35,533,421 |
Let's try dividing by 4:
35,533,421 ÷ 4 = 8,883,355.25
If the quotient is a whole number, then 4 and 8,883,355.25 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 | 35,533,421 | |
| -1 | 35,533,421 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 541 | 853 | 3,787 | 5,951 | 5,971 | 9,383 | 41,657 | 65,681 | 461,473 | 3,230,311 | 5,076,203 | 35,533,421 |
| -1 | -7 | -11 | -77 | -541 | -853 | -3,787 | -5,951 | -5,971 | -9,383 | -41,657 | -65,681 | -461,473 | -3,230,311 | -5,076,203 | -35,533,421 |
Here are some more numbers to try:
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