A:
Positive:
1 x 400115313 x 30778119 x 21058797 x 41249167 x 23959247 x 161991261 x 31731843 x 2171
Negative:
-1 x -4001153-13 x -307781-19 x -210587-97 x -41249-167 x -23959-247 x -16199-1261 x -3173-1843 x -2171
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 4,001,153, 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 | 4,001,153 | |
| -1 | -4,001,153 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 4,001,153.
Example:
1 x 4,001,153 = 4,001,153
and
-1 x -4,001,153 = 4,001,153
Notice both answers equal 4,001,153
With that explanation out of the way, let's continue. Next, we take the number 4,001,153 and divide it by 2:
4,001,153 ÷ 2 = 2,000,576.5
If the quotient is a whole number, then 2 and 2,000,576.5 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 | 4,001,153 | |
| -1 | -4,001,153 |
Now, we try dividing 4,001,153 by 3:
4,001,153 ÷ 3 = 1,333,717.6667
If the quotient is a whole number, then 3 and 1,333,717.6667 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 | 4,001,153 | |
| -1 | -4,001,153 |
Let's try dividing by 4:
4,001,153 ÷ 4 = 1,000,288.25
If the quotient is a whole number, then 4 and 1,000,288.25 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 | 4,001,153 | |
| -1 | 4,001,153 |
If you did it right, you will end up with this table:
| 1 | 13 | 19 | 97 | 167 | 247 | 1,261 | 1,843 | 2,171 | 3,173 | 16,199 | 23,959 | 41,249 | 210,587 | 307,781 | 4,001,153 |
| -1 | -13 | -19 | -97 | -167 | -247 | -1,261 | -1,843 | -2,171 | -3,173 | -16,199 | -23,959 | -41,249 | -210,587 | -307,781 | -4,001,153 |
Here are some more numbers to try:
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