A:
Positive:
1 x 421010037 x 601442983 x 507241233 x 180691311 x 135373581 x 724631631 x 258132177 x 19339
Negative:
-1 x -42101003-7 x -6014429-83 x -507241-233 x -180691-311 x -135373-581 x -72463-1631 x -25813-2177 x -19339
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 42,101,003, 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 | 42,101,003 | |
| -1 | -42,101,003 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 42,101,003.
Example:
1 x 42,101,003 = 42,101,003
and
-1 x -42,101,003 = 42,101,003
Notice both answers equal 42,101,003
With that explanation out of the way, let's continue. Next, we take the number 42,101,003 and divide it by 2:
42,101,003 ÷ 2 = 21,050,501.5
If the quotient is a whole number, then 2 and 21,050,501.5 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 | 42,101,003 | |
| -1 | -42,101,003 |
Now, we try dividing 42,101,003 by 3:
42,101,003 ÷ 3 = 14,033,667.6667
If the quotient is a whole number, then 3 and 14,033,667.6667 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 | 42,101,003 | |
| -1 | -42,101,003 |
Let's try dividing by 4:
42,101,003 ÷ 4 = 10,525,250.75
If the quotient is a whole number, then 4 and 10,525,250.75 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 | 42,101,003 | |
| -1 | 42,101,003 |
If you did it right, you will end up with this table:
| 1 | 7 | 83 | 233 | 311 | 581 | 1,631 | 2,177 | 19,339 | 25,813 | 72,463 | 135,373 | 180,691 | 507,241 | 6,014,429 | 42,101,003 |
| -1 | -7 | -83 | -233 | -311 | -581 | -1,631 | -2,177 | -19,339 | -25,813 | -72,463 | -135,373 | -180,691 | -507,241 | -6,014,429 | -42,101,003 |
Here are some more numbers to try:
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