A:
Positive:
1 x 34025635361 x 557797371 x 4792343251 x 1355603313 x 10870814331 x 7856315311 x 2222317821 x 19093
Negative:
-1 x -340256353-61 x -5577973-71 x -4792343-251 x -1355603-313 x -1087081-4331 x -78563-15311 x -22223-17821 x -19093
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 340,256,353, 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 | 340,256,353 | |
| -1 | -340,256,353 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 340,256,353.
Example:
1 x 340,256,353 = 340,256,353
and
-1 x -340,256,353 = 340,256,353
Notice both answers equal 340,256,353
With that explanation out of the way, let's continue. Next, we take the number 340,256,353 and divide it by 2:
340,256,353 ÷ 2 = 170,128,176.5
If the quotient is a whole number, then 2 and 170,128,176.5 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 | 340,256,353 | |
| -1 | -340,256,353 |
Now, we try dividing 340,256,353 by 3:
340,256,353 ÷ 3 = 113,418,784.3333
If the quotient is a whole number, then 3 and 113,418,784.3333 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 | 340,256,353 | |
| -1 | -340,256,353 |
Let's try dividing by 4:
340,256,353 ÷ 4 = 85,064,088.25
If the quotient is a whole number, then 4 and 85,064,088.25 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 | 340,256,353 | |
| -1 | 340,256,353 |
If you did it right, you will end up with this table:
| 1 | 61 | 71 | 251 | 313 | 4,331 | 15,311 | 17,821 | 19,093 | 22,223 | 78,563 | 1,087,081 | 1,355,603 | 4,792,343 | 5,577,973 | 340,256,353 |
| -1 | -61 | -71 | -251 | -313 | -4,331 | -15,311 | -17,821 | -19,093 | -22,223 | -78,563 | -1,087,081 | -1,355,603 | -4,792,343 | -5,577,973 | -340,256,353 |
Here are some more numbers to try:
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