A:
Positive:
1 x 35162526113 x 2704809729 x 12125009181 x 1942681377 x 9326932353 x 1494375153 x 682375249 x 66989
Negative:
-1 x -351625261-13 x -27048097-29 x -12125009-181 x -1942681-377 x -932693-2353 x -149437-5153 x -68237-5249 x -66989
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 351,625,261, 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 | 351,625,261 | |
| -1 | -351,625,261 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 351,625,261.
Example:
1 x 351,625,261 = 351,625,261
and
-1 x -351,625,261 = 351,625,261
Notice both answers equal 351,625,261
With that explanation out of the way, let's continue. Next, we take the number 351,625,261 and divide it by 2:
351,625,261 ÷ 2 = 175,812,630.5
If the quotient is a whole number, then 2 and 175,812,630.5 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 | 351,625,261 | |
| -1 | -351,625,261 |
Now, we try dividing 351,625,261 by 3:
351,625,261 ÷ 3 = 117,208,420.3333
If the quotient is a whole number, then 3 and 117,208,420.3333 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 | 351,625,261 | |
| -1 | -351,625,261 |
Let's try dividing by 4:
351,625,261 ÷ 4 = 87,906,315.25
If the quotient is a whole number, then 4 and 87,906,315.25 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 | 351,625,261 | |
| -1 | 351,625,261 |
If you did it right, you will end up with this table:
| 1 | 13 | 29 | 181 | 377 | 2,353 | 5,153 | 5,249 | 66,989 | 68,237 | 149,437 | 932,693 | 1,942,681 | 12,125,009 | 27,048,097 | 351,625,261 |
| -1 | -13 | -29 | -181 | -377 | -2,353 | -5,153 | -5,249 | -66,989 | -68,237 | -149,437 | -932,693 | -1,942,681 | -12,125,009 | -27,048,097 | -351,625,261 |
Here are some more numbers to try:
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