A:
Positive:
1 x 341261697 x 487516711 x 310237977 x 443197163 x 2093631141 x 299091793 x 190332719 x 12551
Negative:
-1 x -34126169-7 x -4875167-11 x -3102379-77 x -443197-163 x -209363-1141 x -29909-1793 x -19033-2719 x -12551
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 34,126,169, 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 | 34,126,169 | |
| -1 | -34,126,169 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 34,126,169.
Example:
1 x 34,126,169 = 34,126,169
and
-1 x -34,126,169 = 34,126,169
Notice both answers equal 34,126,169
With that explanation out of the way, let's continue. Next, we take the number 34,126,169 and divide it by 2:
34,126,169 ÷ 2 = 17,063,084.5
If the quotient is a whole number, then 2 and 17,063,084.5 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 | 34,126,169 | |
| -1 | -34,126,169 |
Now, we try dividing 34,126,169 by 3:
34,126,169 ÷ 3 = 11,375,389.6667
If the quotient is a whole number, then 3 and 11,375,389.6667 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 | 34,126,169 | |
| -1 | -34,126,169 |
Let's try dividing by 4:
34,126,169 ÷ 4 = 8,531,542.25
If the quotient is a whole number, then 4 and 8,531,542.25 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 | 34,126,169 | |
| -1 | 34,126,169 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 163 | 1,141 | 1,793 | 2,719 | 12,551 | 19,033 | 29,909 | 209,363 | 443,197 | 3,102,379 | 4,875,167 | 34,126,169 |
| -1 | -7 | -11 | -77 | -163 | -1,141 | -1,793 | -2,719 | -12,551 | -19,033 | -29,909 | -209,363 | -443,197 | -3,102,379 | -4,875,167 | -34,126,169 |
Here are some more numbers to try:
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