A:
Positive:
1 x 421711017 x 602444317 x 2480653119 x 354379389 x 108409911 x 462912723 x 154876377 x 6613
Negative:
-1 x -42171101-7 x -6024443-17 x -2480653-119 x -354379-389 x -108409-911 x -46291-2723 x -15487-6377 x -6613
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 42,171,101, 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 | 42,171,101 | |
| -1 | -42,171,101 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 42,171,101.
Example:
1 x 42,171,101 = 42,171,101
and
-1 x -42,171,101 = 42,171,101
Notice both answers equal 42,171,101
With that explanation out of the way, let's continue. Next, we take the number 42,171,101 and divide it by 2:
42,171,101 ÷ 2 = 21,085,550.5
If the quotient is a whole number, then 2 and 21,085,550.5 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 | 42,171,101 | |
| -1 | -42,171,101 |
Now, we try dividing 42,171,101 by 3:
42,171,101 ÷ 3 = 14,057,033.6667
If the quotient is a whole number, then 3 and 14,057,033.6667 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 | 42,171,101 | |
| -1 | -42,171,101 |
Let's try dividing by 4:
42,171,101 ÷ 4 = 10,542,775.25
If the quotient is a whole number, then 4 and 10,542,775.25 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 | 42,171,101 | |
| -1 | 42,171,101 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 389 | 911 | 2,723 | 6,377 | 6,613 | 15,487 | 46,291 | 108,409 | 354,379 | 2,480,653 | 6,024,443 | 42,171,101 |
| -1 | -7 | -17 | -119 | -389 | -911 | -2,723 | -6,377 | -6,613 | -15,487 | -46,291 | -108,409 | -354,379 | -2,480,653 | -6,024,443 | -42,171,101 |
Here are some more numbers to try:
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